2598937608960 has 3456 divisors, whose sum is σ = 12864720153600. Its totient is φ = 489011281920.

The previous prime is 2598937608919. The next prime is 2598937608991. The reversal of 2598937608960 is 698067398952.

2598937608960 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 9 + 3 + 7 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9183524979 + ... + 9183525261.

It is an arithmetic number, because the mean of its divisors is an integer number (3722430600).

Almost surely, 2^{2598937608960} is an apocalyptic number.

2598937608960 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 2598937608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432360076800).

2598937608960 is an abundant number, since it is smaller than the sum of its proper divisors (10265782544640).

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

2598937608960 is a wasteful number, since it uses less digits than its factorization.

2598937608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 2598937608960 in words is "two trillion, five hundred ninety-eight billion, nine hundred thirty-seven million, six hundred eight thousand, nine hundred sixty".