2268357120 has 120 divisors (see below), whose sum is σ = 7856038476. Its totient is φ = 604889088.

The previous prime is 2268357109. The next prime is 2268357121. The reversal of 2268357120 is 217538622.

2268357120 is a `hidden beast` number, since 2 + 2 + 6 + 83 + 571 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2127792384 + 140564736 = 46128^2 + 11856^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (2268357121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26187 + ... + 72266.

Almost surely, 2^2268357120 is an apocalyptic number.

2268357120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2268357120 is an abundant number, since it is smaller than the sum of its proper divisors (5587681356).

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

2268357120 is an equidigital number, since it uses as much as digits as its factorization.

2268357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98482 (or 98463 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2268357120 is about 47627.2728591508. The cubic root of 2268357120 is about 1313.9246983946.

The spelling of 2268357120 in words is "two billion, two hundred sixty-eight million, three hundred fifty-seven thousand, one hundred twenty".