2765445672 has 32 divisors (see below), whose sum is σ = 7542125280. Its totient is φ = 838013760.

The previous prime is 2765445659. The next prime is 2765445677.

2765445672 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2765445677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5237323 + ... + 5237850.

It is an arithmetic number, because the mean of its divisors is an integer number (235691415).

Almost surely, 2^2765445672 is an apocalyptic number.

2765445672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2765445672 is an abundant number, since it is smaller than the sum of its proper divisors (4776679608).

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

2765445672 is a wasteful number, since it uses less digits than its factorization.

2765445672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10475193 (or 10475189 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The square root of 2765445672 is about 52587.5049037316. The cubic root of 2765445672 is about 1403.6377625733.

The spelling of 2765445672 in words is "two billion, seven hundred sixty-five million, four hundred forty-five thousand, six hundred seventy-two".