2613402620928 has 462 divisors, whose sum is σ = 8609900304362. Its totient is φ = 791912816640.

The previous prime is 2613402620921. The next prime is 2613402620947. The reversal of 2613402620928 is 8290262043162.

2613402620928 is a `hidden beast` number, since 2 + 6 + 13 + 4 + 0 + 2 + 620 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2254898663424 + 358503957504 = 1501632^2 + 598752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613402620921) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 90311550 + ... + 90340482.

Almost surely, 2^{2613402620928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613402620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304950152181).

2613402620928 is an abundant number, since it is smaller than the sum of its proper divisors (5996497683434).

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

2613402620928 is an equidigital number, since it uses as much as digits as its factorization.

2613402620928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28993 (or 28949 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2613402620928 in words is "two trillion, six hundred thirteen billion, four hundred two million, six hundred twenty thousand, nine hundred twenty-eight".