2613252096000 has 3072 divisors, whose sum is σ = 12503700518400. Its totient is φ = 509607936000.

The previous prime is 2613252095957. The next prime is 2613252096089. The reversal of 2613252096000 is 6902523162.

2613252096000 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 25 + 20 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63737855980 + ... + 63737856020.

Almost surely, 2^{2613252096000} is an apocalyptic number.

2613252096000 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 2613252096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251850259200).

2613252096000 is an abundant number, since it is smaller than the sum of its proper divisors (9890448422400).

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

2613252096000 is a wasteful number, since it uses less digits than its factorization.

2613252096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2613252096000 in words is "two trillion, six hundred thirteen billion, two hundred fifty-two million, ninety-six thousand".