2523751284096 has 384 divisors, whose sum is σ = 8793649051200. Its totient is φ = 678224461824.

The previous prime is 2523751284073. The next prime is 2523751284097. The reversal of 2523751284096 is 6904821573252.

2523751284096 is a `hidden beast` number, since 2 + 5 + 2 + 37 + 512 + 8 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523751284097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256760910 + ... + 256770738.

It is a 1-persistent number, because it is pandigital, but 2⋅2523751284096 = 5047502568192 is not.

Almost surely, 2^{2523751284096} 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 2523751284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396824525600).

2523751284096 is an abundant number, since it is smaller than the sum of its proper divisors (6269897767104).

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

2523751284096 is a wasteful number, since it uses less digits than its factorization.

2523751284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11746 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2523751284096 in words is "two trillion, five hundred twenty-three billion, seven hundred fifty-one million, two hundred eighty-four thousand, ninety-six".