2510400011256 has 96 divisors (see below), whose sum is σ = 6896305353600. Its totient is φ = 824896339200.

The previous prime is 2510400011209. The next prime is 2510400011257. The reversal of 2510400011256 is 6521100040152.

2510400011256 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 400 + 0 + 1 + 1 + 256 = 666.

2510400011256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510400011257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911545 + ... + 2419031.

It is an arithmetic number, because the mean of its divisors is an integer number (71836514100).

Almost surely, 2^{2510400011256} 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 2510400011256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448152676800).

2510400011256 is an abundant number, since it is smaller than the sum of its proper divisors (4385905342344).

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

2510400011256 is a wasteful number, since it uses less digits than its factorization.

2510400011256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507829 (or 1507822 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 2510400011256 in words is "two trillion, five hundred ten billion, four hundred million, eleven thousand, two hundred fifty-six".