2263957200 has 90 divisors (see below), whose sum is σ = 7856572854. Its totient is φ = 603720960.

The previous prime is 2263957153. The next prime is 2263957237. The reversal of 2263957200 is 27593622.

2263957200 is a `hidden beast` number, since 22 + 63 + 9 + 572 + 0 + 0 = 666.

2263957200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 194435136 + 2069522064 = 13944^2 + 45492^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 310839 + ... + 318038.

Almost surely, 2^2263957200 is an apocalyptic number.

2263957200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263957200 is an abundant number, since it is smaller than the sum of its proper divisors (5592615654).

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

2263957200 is a wasteful number, since it uses less digits than its factorization.

2263957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628901 (or 628887 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2263957200 is about 47581.0592568093. The cubic root of 2263957200 is about 1313.0746109843.

The spelling of 2263957200 in words is "two billion, two hundred sixty-three million, nine hundred fifty-seven thousand, two hundred".