2251296000 has 216 divisors, whose sum is σ = 8101855944. Its totient is φ = 600268800.

The previous prime is 2251295993. The next prime is 2251296017. The reversal of 2251296000 is 6921522.

2251296000 is a `hidden beast` number, since 2 + 2 + 51 + 2 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 679332096 + 1571963904 = 26064^2 + 39648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284092 + ... + 291908.

Almost surely, 2^2251296000 is an apocalyptic number.

2251296000 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 2251296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050927972).

2251296000 is an abundant number, since it is smaller than the sum of its proper divisors (5850559944).

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

2251296000 is an equidigital number, since it uses as much as digits as its factorization.

2251296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2251296000 is about 47447.8239753943. The cubic root of 2251296000 is about 1310.6222399882.

The spelling of 2251296000 in words is "two billion, two hundred fifty-one million, two hundred ninety-six thousand".