2812180900 has 27 divisors (see below), whose sum is σ = 6103583521. Its totient is φ = 1124660240.

The previous prime is 2812180879. The next prime is 2812180927. The reversal of 2812180900 is 90812182.

It is a happy number.

The square root of 2812180900 is 53030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1012385124 + 1799795776 = 31818^2 + 42424^2 .

It is a super-2 number, since 2×2812180900² = 15816722828649620000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 527649 + ... + 532951.

Almost surely, 2^2812180900 is an apocalyptic number.

2812180900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2812180900 is the 53030-th square number.

It is an amenable number.

2812180900 is an abundant number, since it is smaller than the sum of its proper divisors (3291402621).

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

2812180900 is an frugal number, since it uses more digits than its factorization.

2812180900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10620 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The cubic root of 2812180900 is about 1411.5006573742.

Multiplying 2812180900 by its product of nonzero digits (2304), we get a square (6479264793600 = 2545440²).

The spelling of 2812180900 in words is "two billion, eight hundred twelve million, one hundred eighty thousand, nine hundred".