2765665672 has 64 divisors (see below), whose sum is σ = 6845523840. Its totient is φ = 1014144000.

The previous prime is 2765665667. The next prime is 2765665673.

2765665672 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2765665672³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2765665673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121579 + ... + 142522.

It is an arithmetic number, because the mean of its divisors is an integer number (106961310).

Almost surely, 2^2765665672 is an apocalyptic number.

2765665672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2765665672 is an abundant number, since it is smaller than the sum of its proper divisors (4079858168).

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

2765665672 is a wasteful number, since it uses less digits than its factorization.

2765665672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264142 (or 264138 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 52.

The square root of 2765665672 is about 52589.5966137790. The cubic root of 2765665672 is about 1403.6749828693.

The spelling of 2765665672 in words is "two billion, seven hundred sixty-five million, six hundred sixty-five thousand, six hundred seventy-two".