2400947588256 has 192 divisors, whose sum is σ = 7218258727680. Its totient is φ = 684518768640.

The previous prime is 2400947588251. The next prime is 2400947588257. The reversal of 2400947588256 is 6528857490042.

It is a self number, because there is not a number n which added to its sum of digits gives 2400947588256.

It is not an unprimeable number, because it can be changed into a prime (2400947588251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903629680 + ... + 903632336.

It is an arithmetic number, because the mean of its divisors is an integer number (37595097540).

Almost surely, 2^{2400947588256} 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 2400947588256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609129363840).

2400947588256 is an abundant number, since it is smaller than the sum of its proper divisors (4817311139424).

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

2400947588256 is a wasteful number, since it uses less digits than its factorization.

2400947588256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 2400947588256 in words is "two trillion, four hundred billion, nine hundred forty-seven million, five hundred eighty-eight thousand, two hundred fifty-six".