2250939264000 has 2112 divisors, whose sum is σ = 9561689100288. Its totient is φ = 466550784000.

The previous prime is 2250939263899. The next prime is 2250939264023. The reversal of 2250939264000 is 4629390522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9916031887 + ... + 9916032113.

Almost surely, 2^{2250939264000} is an apocalyptic number.

2250939264000 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 2250939264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780844550144).

2250939264000 is an abundant number, since it is smaller than the sum of its proper divisors (7310749836288).

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

2250939264000 is a wasteful number, since it uses less digits than its factorization.

2250939264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 2250939264000 in words is "two trillion, two hundred fifty billion, nine hundred thirty-nine million, two hundred sixty-four thousand".