2277924864 has 112 divisors (see below), whose sum is σ = 6180978240. Its totient is φ = 745963520.

The previous prime is 2277924841. The next prime is 2277924881. The reversal of 2277924864 is 4684297722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1449199 + ... + 1450769.

Almost surely, 2^2277924864 is an apocalyptic number.

2277924864 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 2277924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090489120).

2277924864 is an abundant number, since it is smaller than the sum of its proper divisors (3903053376).

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

2277924864 is an equidigital number, since it uses as much as digits as its factorization.

2277924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1635 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 2277924864 is about 47727.6111281510. The cubic root of 2277924864 is about 1315.7694493002.

The spelling of 2277924864 in words is "two billion, two hundred seventy-seven million, nine hundred twenty-four thousand, eight hundred sixty-four".