2812488900 has 144 divisors (see below), whose sum is σ = 8784729408. Its totient is φ = 690624000.

The previous prime is 2812488869. The next prime is 2812488941. The reversal of 2812488900 is 98842182.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2577355 + ... + 2578445.

Almost surely, 2^2812488900 is an apocalyptic number.

2812488900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812488900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392364704).

2812488900 is an abundant number, since it is smaller than the sum of its proper divisors (5972240508).

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

2812488900 is a wasteful number, since it uses less digits than its factorization.

2812488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 2812488900 is about 53032.9039370842. The cubic root of 2812488900 is about 1411.5521863413.

The spelling of 2812488900 in words is "two billion, eight hundred twelve million, four hundred eighty-eight thousand, nine hundred".