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2740609490670 = 234510745769193
BaseRepresentation
bin100111111000011001000…
…011100001111011101110
3100200222222210021010020000
4213320121003201323232
5324400232012200140
65455004004405130
7402000600210102
oct47703103417356
910628883233200
102740609490670
11967316678917
123831946a67a6
1316b59112321c
1496909299902
154b452311a30
hex27e190e1eee

2740609490670 has 160 divisors (see below), whose sum is σ = 7454448970848. Its totient is φ = 722404334592.

The previous prime is 2740609490651. The next prime is 2740609490681. The reversal of 2740609490670 is 760949060472.

It is a happy number.

2740609490670 is a `hidden beast` number, since 2 + 7 + 406 + 0 + 94 + 90 + 67 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39573594 + ... + 39642786.

Almost surely, 22740609490670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740609490670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727224485424).

2740609490670 is an abundant number, since it is smaller than the sum of its proper divisors (4713839480178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2740609490670 is a wasteful number, since it uses less digits than its factorization.

2740609490670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69776 (or 69767 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2740609490670 in words is "two trillion, seven hundred forty billion, six hundred nine million, four hundred ninety thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 270 321 405 457 535 642 810 914 963 1070 1371 1605 1926 2285 2742 2889 3210 4113 4570 4815 5778 6855 8226 8667 9630 12339 13710 14445 17334 20565 24678 28890 37017 41130 43335 48899 61695 69193 74034 86670 97798 123390 138386 146697 185085 207579 244495 293394 345965 370170 415158 440091 488990 622737 691930 733485 880182 1037895 1245474 1320273 1466970 1868211 2075790 2200455 2640546 3113685 3736422 3960819 4400910 5604633 6227370 6601365 7403651 7921638 9341055 11209266 13202730 14807302 18682110 19804095 22210953 28023165 31621201 37018255 39608190 44421906 56046330 63242402 66632859 74036510 94863603 111054765 133265718 158106005 189727206 199898577 222109530 284590809 316212010 333164295 399797154 474318015 569181618 599695731 666328590 853772427 948636030 999492885 1199391462 1422954045 1707544854 1998985770 2561317281 2845908090 2998478655 3383468507 4268862135 5122634562 5996957310 6766937014 8537724270 10150405521 12806586405 16917342535 20300811042 25613172810 30451216563 33834685070 50752027605 60902433126 91353649689 101504055210 152256082815 182707299378 274060949067 304512165630 456768248445 548121898134 913536496890 1370304745335 2740609490670