2457012096 has 384 divisors, whose sum is σ = 9209376000. Its totient is φ = 637701120.

The previous prime is 2457012059. The next prime is 2457012109. The reversal of 2457012096 is 6902107542.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2457012096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862125 + ... + 1863443.

It is an arithmetic number, because the mean of its divisors is an integer number (23982750).

Almost surely, 2^2457012096 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 2457012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604688000).

2457012096 is an abundant number, since it is smaller than the sum of its proper divisors (6752363904).

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

2457012096 is a wasteful number, since it uses less digits than its factorization.

2457012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2457012096 is about 49568.2569392953. The cubic root of 2457012096 is about 1349.3846479502.

The spelling of 2457012096 in words is "two billion, four hundred fifty-seven million, twelve thousand, ninety-six".