2672164540 has 48 divisors (see below), whose sum is σ = 5660534880. Its totient is φ = 1059575040.

The previous prime is 2672164529. The next prime is 2672164577. The reversal of 2672164540 is 454612762.

It is a self number, because there is not a number n which added to its sum of digits gives 2672164540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349271 + ... + 1351249.

It is an arithmetic number, because the mean of its divisors is an integer number (117927810).

Almost surely, 2^2672164540 is an apocalyptic number.

2672164540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672164540 is an abundant number, since it is smaller than the sum of its proper divisors (2988370340).

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

2672164540 is a wasteful number, since it uses less digits than its factorization.

2672164540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2672164540 is about 51692.9834697128. The cubic root of 2672164540 is about 1387.6748976293.

The spelling of 2672164540 in words is "two billion, six hundred seventy-two million, one hundred sixty-four thousand, five hundred forty".