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2040660604400 = 2452111229377369
BaseRepresentation
bin11101101100100000110…
…110011011010111110000
321020002022010221120100012
4131230200312123113300
5231413233103320100
64201244434514052
7300301320640145
oct35544066332760
97202263846305
102040660604400
11717491790780
1228b5b1135928
1311a5834415c2
1470aa8a9c3cc
15381379a4135
hex1db20d9b5f0

2040660604400 has 120 divisors (see below), whose sum is σ = 5352751933200. Its totient is φ = 741452646400.

The previous prime is 2040660604379. The next prime is 2040660604403. The reversal of 2040660604400 is 44060660402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040660604403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5218916 + ... + 5596284.

It is an arithmetic number, because the mean of its divisors is an integer number (44606266110).

Almost surely, 22040660604400 is an apocalyptic number.

2040660604400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040660604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676375966600).

2040660604400 is an abundant number, since it is smaller than the sum of its proper divisors (3312091328800).

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

2040660604400 is a wasteful number, since it uses less digits than its factorization.

2040660604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378627 (or 378616 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 2040660604400 in words is "two trillion, forty billion, six hundred sixty million, six hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1229 2200 2458 4400 4916 6145 9832 12290 13519 19664 24580 27038 30725 49160 54076 61450 67595 98320 108152 122900 135190 216304 245800 270380 337975 377369 491600 540760 675950 754738 1081520 1351900 1509476 1886845 2703800 3018952 3773690 4151059 5407600 6037904 7547380 8302118 9434225 15094760 16604236 18868450 20755295 30189520 33208472 37736900 41510590 66416944 75473800 83021180 103776475 150947600 166042360 207552950 332084720 415105900 463786501 830211800 927573002 1660423600 1855146004 2318932505 3710292008 4637865010 5101651511 7420584016 9275730020 10203303022 11594662525 18551460040 20406606044 23189325050 25508257555 37102920080 40813212088 46378650100 51016515110 81626424176 92757300200 102033030220 127541287775 185514600400 204066060440 255082575550 408132120880 510165151100 1020330302200 2040660604400