2506656704 has 56 divisors (see below), whose sum is σ = 5083917696. Its totient is φ = 1225952000.

The previous prime is 2506656701. The next prime is 2506656707. The reversal of 2506656704 is 4076566052.

It is an interprime number because it is at equal distance from previous prime (2506656701) and next prime (2506656707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506656701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593159 + ... + 597369.

Almost surely, 2^2506656704 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 2506656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541958848).

2506656704 is an abundant number, since it is smaller than the sum of its proper divisors (2577260992).

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

2506656704 is a wasteful number, since it uses less digits than its factorization.

2506656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The square root of 2506656704 is about 50066.5227871878. The cubic root of 2506656704 is about 1358.4123456901.

The spelling of 2506656704 in words is "two billion, five hundred six million, six hundred fifty-six thousand, seven hundred four".