2648892964032 has 280 divisors, whose sum is σ = 8978475860640. Its totient is φ = 756439326720.

The previous prime is 2648892964031. The next prime is 2648892964033. The reversal of 2648892964032 is 2304692988462.

2648892964032 is a `hidden beast` number, since 2 + 6 + 488 + 92 + 9 + 64 + 0 + 3 + 2 = 666.

2648892964032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2648892964031) and next prime (2648892964033).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2648892964031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75062232 + ... + 75097512.

Almost surely, 2^{2648892964032} 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 2648892964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489237930320).

2648892964032 is an abundant number, since it is smaller than the sum of its proper divisors (6329582896608).

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

2648892964032 is a wasteful number, since it uses less digits than its factorization.

2648892964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37381 (or 37362 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 2648892964032 in words is "two trillion, six hundred forty-eight billion, eight hundred ninety-two million, nine hundred sixty-four thousand, thirty-two".