2270830464 has 320 divisors, whose sum is σ = 7855436160. Its totient is φ = 637756416.

The previous prime is 2270830459. The next prime is 2270830487. The reversal of 2270830464 is 4640380722.

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 39 ways as a sum of consecutive naturals, for example, 4862359 + ... + 4862825.

It is an arithmetic number, because the mean of its divisors is an integer number (24548238).

Almost surely, 2^2270830464 is an apocalyptic number.

2270830464 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 2270830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927718080).

2270830464 is an abundant number, since it is smaller than the sum of its proper divisors (5584605696).

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

2270830464 is an equidigital number, since it uses as much as digits as its factorization.

2270830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2270830464 is about 47653.2314119410. The cubic root of 2270830464 is about 1314.4020787419.

The spelling of 2270830464 in words is "two billion, two hundred seventy million, eight hundred thirty thousand, four hundred sixty-four".