2251306800 has 180 divisors, whose sum is σ = 8065081024. Its totient is φ = 580953600.

The previous prime is 2251306781. The next prime is 2251306873. The reversal of 2251306800 is 86031522.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101514 + ... + 121686.

Almost surely, 2^2251306800 is an apocalyptic number.

2251306800 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 2251306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032540512).

2251306800 is an abundant number, since it is smaller than the sum of its proper divisors (5813774224).

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

2251306800 is a wasteful number, since it uses less digits than its factorization.

2251306800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20228 (or 20214 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2251306800 is about 47447.9377844812. The cubic root of 2251306800 is about 1310.6243357733.

The spelling of 2251306800 in words is "two billion, two hundred fifty-one million, three hundred six thousand, eight hundred".