2596920600960 has 640 divisors, whose sum is σ = 10964464948800. Its totient is φ = 573111189504.

The previous prime is 2596920600941. The next prime is 2596920600961. The reversal of 2596920600960 is 690060296952.

2596920600960 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 9 + 20 + 600 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 2596920600897 and 2596920600906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2596920600961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10400134 + ... + 10646906.

Almost surely, 2^{2596920600960} is an apocalyptic number.

2596920600960 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 2596920600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482232474400).

2596920600960 is an abundant number, since it is smaller than the sum of its proper divisors (8367544347840).

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

2596920600960 is a wasteful number, since it uses less digits than its factorization.

2596920600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246840 (or 246819 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 2596920600960 in words is "two trillion, five hundred ninety-six billion, nine hundred twenty million, six hundred thousand, nine hundred sixty".