2268925264320 has 672 divisors, whose sum is σ = 8585821857024. Its totient is φ = 503193600000.

The previous prime is 2268925264297. The next prime is 2268925264327. The reversal of 2268925264320 is 234625298622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268925264327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201658695 + ... + 201669945.

Almost surely, 2^{2268925264320} is an apocalyptic number.

2268925264320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268925264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292910928512).

2268925264320 is an abundant number, since it is smaller than the sum of its proper divisors (6316896592704).

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

2268925264320 is a wasteful number, since it uses less digits than its factorization.

2268925264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 2268925264320 in words is "two trillion, two hundred sixty-eight billion, nine hundred twenty-five million, two hundred sixty-four thousand, three hundred twenty".