2723260900 has 36 divisors (see below), whose sum is σ = 5914955620. Its totient is φ = 1088294400.

The previous prime is 2723260853. The next prime is 2723260919. The reversal of 2723260900 is 90623272.

It can be written as a sum of positive squares in 6 ways, for example, as 621405184 + 2101855716 = 24928^2 + 45846^2 .

It is a super-3 number, since 3×2723260900³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 100840 + ... + 124960.

Almost surely, 2^2723260900 is an apocalyptic number.

2723260900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2723260900 is an abundant number, since it is smaller than the sum of its proper divisors (3191694720).

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

2723260900 is a wasteful number, since it uses less digits than its factorization.

2723260900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25264 (or 25257 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2723260900 is about 52184.8723290572. The cubic root of 2723260900 is about 1396.4640188653.

The spelling of 2723260900 in words is "two billion, seven hundred twenty-three million, two hundred sixty thousand, nine hundred".