2250847872000 has 2816 divisors, whose sum is σ = 10866893506560. Its totient is φ = 445906944000.

The previous prime is 2250847871999. The next prime is 2250847872019. The reversal of 2250847872000 is 2787480522.

2250847872000 is a `hidden beast` number, since 2 + 2 + 508 + 4 + 78 + 72 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2250847872000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5346431790 + ... + 5346432210.

Almost surely, 2^{2250847872000} is an apocalyptic number.

2250847872000 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 2250847872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433446753280).

2250847872000 is an abundant number, since it is smaller than the sum of its proper divisors (8616045634560).

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

2250847872000 is a wasteful number, since it uses less digits than its factorization.

2250847872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 2250847872000 in words is "two trillion, two hundred fifty billion, eight hundred forty-seven million, eight hundred seventy-two thousand".