2546681256 has 256 divisors, whose sum is σ = 8569958400. Its totient is φ = 684972288.

The previous prime is 2546681239. The next prime is 2546681261. The reversal of 2546681256 is 6521866452.

2546681256 is a `hidden beast` number, since 2 + 546 + 6 + 81 + 25 + 6 = 666.

2546681256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2329446 + ... + 2330538.

It is an arithmetic number, because the mean of its divisors is an integer number (33476400).

Almost surely, 2^2546681256 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 2546681256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284979200).

2546681256 is an abundant number, since it is smaller than the sum of its proper divisors (6023277144).

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

2546681256 is a wasteful number, since it uses less digits than its factorization.

2546681256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1195 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2546681256 is about 50464.6535309616. The cubic root of 2546681256 is about 1365.6042633167.

The spelling of 2546681256 in words is "two billion, five hundred forty-six million, six hundred eighty-one thousand, two hundred fifty-six".