2270052864 has 200 divisors, whose sum is σ = 6844704768. Its totient is φ = 748984320.

The previous prime is 2270052817. The next prime is 2270052893. The reversal of 2270052864 is 4682500722.

2270052864 is a `hidden beast` number, since 2 + 2 + 70 + 0 + 528 + 64 = 666.

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 19 ways as a sum of consecutive naturals, for example, 5266729 + ... + 5267159.

Almost surely, 2^2270052864 is an apocalyptic number.

2270052864 is a gapful number since it is divisible by the number (24) 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 2270052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422352384).

2270052864 is an abundant number, since it is smaller than the sum of its proper divisors (4574651904).

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

2270052864 is an equidigital number, since it uses as much as digits as its factorization.

2270052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2270052864 is about 47645.0717703311. The cubic root of 2270052864 is about 1314.2520314709.

The spelling of 2270052864 in words is "two billion, two hundred seventy million, fifty-two thousand, eight hundred sixty-four".