2251543680 has 96 divisors (see below), whose sum is σ = 7774881660. Its totient is φ = 600410112.

The previous prime is 2251543661. The next prime is 2251543703. The reversal of 2251543680 is 863451522.

2251543680 is a `hidden beast` number, since 2 + 2 + 51 + 543 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1943751744 + 307791936 = 44088^2 + 17544^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189687 + ... + 201206.

Almost surely, 2^2251543680 is an apocalyptic number.

2251543680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251543680 is an abundant number, since it is smaller than the sum of its proper divisors (5523337980).

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

2251543680 is a wasteful number, since it uses less digits than its factorization.

2251543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390918 (or 390903 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2251543680 is about 47450.4339284690. The cubic root of 2251543680 is about 1310.6703016400.

The spelling of 2251543680 in words is "two billion, two hundred fifty-one million, five hundred forty-three thousand, six hundred eighty".