2642056704 has 400 divisors, whose sum is σ = 9506534400. Its totient is φ = 713650176.

The previous prime is 2642056673. The next prime is 2642056721. The reversal of 2642056704 is 4076502462.

2642056704 is a `hidden beast` number, since 2 + 642 + 0 + 5 + 6 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5515537 + ... + 5516015.

It is an arithmetic number, because the mean of its divisors is an integer number (23766336).

Almost surely, 2^2642056704 is an apocalyptic number.

2642056704 is a gapful number since it is divisible by the number (24) 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 2642056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753267200).

2642056704 is an abundant number, since it is smaller than the sum of its proper divisors (6864477696).

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

2642056704 is an equidigital number, since it uses as much as digits as its factorization.

2642056704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2642056704 is about 51400.9406917811. The cubic root of 2642056704 is about 1382.4434592819.

The spelling of 2642056704 in words is "two billion, six hundred forty-two million, fifty-six thousand, seven hundred four".