2400696631296 has 640 divisors, whose sum is σ = 7490744870400. Its totient is φ = 765367418880.

The previous prime is 2400696631271. The next prime is 2400696631313. The reversal of 2400696631296 is 6921366960042.

2400696631296 is a `hidden beast` number, since 2 + 400 + 6 + 96 + 63 + 1 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13411712935 + ... + 13411713113.

It is an arithmetic number, because the mean of its divisors is an integer number (11704288860).

Almost surely, 2^{2400696631296} 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 2400696631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745372435200).

2400696631296 is an abundant number, since it is smaller than the sum of its proper divisors (5090048239104).

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

2400696631296 is an equidigital number, since it uses as much as digits as its factorization.

2400696631296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 2400696631296 in words is "two trillion, four hundred billion, six hundred ninety-six million, six hundred thirty-one thousand, two hundred ninety-six".