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2585374740 = 2233513368287
BaseRepresentation
bin1001101000011001…
…1011000000010100
320200011211122102000
42122012123000110
520243323442430
61104313315300
7121032215454
oct23206330024
96604748360
102585374740
111107416343
12601a05b30
13322822050
141a7515d64
15101e91e60
hex9a19b014

2585374740 has 96 divisors (see below), whose sum is σ = 8662133760. Its totient is φ = 636398208.

The previous prime is 2585374733. The next prime is 2585374747. The reversal of 2585374740 is 474735852.

It is an interprime number because it is at equal distance from previous prime (2585374733) and next prime (2585374747).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585374747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177124 + ... + 191163.

It is an arithmetic number, because the mean of its divisors is an integer number (90230560).

Almost surely, 22585374740 is an apocalyptic number.

2585374740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585374740 is an abundant number, since it is smaller than the sum of its proper divisors (6076759020).

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

2585374740 is a wasteful number, since it uses less digits than its factorization.

2585374740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368318 (or 368310 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 2585374740 is about 50846.5804159926. The cubic root of 2585374740 is about 1372.4857175497.

The spelling of 2585374740 in words is "two billion, five hundred eighty-five million, three hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 368287 736574 1104861 1473148 1841435 2209722 3314583 3682870 4419444 4787731 5524305 6629166 7365740 9575462 9943749 11048610 13258332 14363193 16572915 19150924 19887498 22097220 23938655 28726386 33145830 39774996 43089579 47877310 49718745 57452772 66291660 71815965 86179158 95754620 99437490 129268737 143631930 172358316 198874980 215447895 258537474 287263860 430895790 517074948 646343685 861791580 1292687370 2585374740