2764224672 has 72 divisors (see below), whose sum is σ = 7975735488. Its totient is φ = 837640320.

The previous prime is 2764224641. The next prime is 2764224713.

2764224672 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107368 + ... + 130599.

It is an arithmetic number, because the mean of its divisors is an integer number (110774104).

Almost surely, 2^2764224672 is an apocalyptic number.

2764224672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2764224672 is an abundant number, since it is smaller than the sum of its proper divisors (5211510816).

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

2764224672 is a wasteful number, since it uses less digits than its factorization.

2764224672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238002 (or 237983 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 2764224672 is about 52575.8944003809. The cubic root of 2764224672 is about 1403.4311540425.

The spelling of 2764224672 in words is "two billion, seven hundred sixty-four million, two hundred twenty-four thousand, six hundred seventy-two".