2812680000 has 420 divisors, whose sum is σ = 10867324468. Its totient is φ = 691200000.

The previous prime is 2812679951. The next prime is 2812680011. The reversal of 2812680000 is 862182.

It can be written as a sum of positive squares in 10 ways, for example, as 2181263616 + 631416384 = 46704^2 + 25128^2 .

It is a super-2 number, since 2×2812680000² = 15822337564800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4679700 + ... + 4680300.

Almost surely, 2^2812680000 is an apocalyptic number.

2812680000 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 2812680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433662234).

2812680000 is an abundant number, since it is smaller than the sum of its proper divisors (8054644468).

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

2812680000 is a wasteful number, since it uses less digits than its factorization.

2812680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2812680000 is about 53034.7056181139. The cubic root of 2812680000 is about 1411.5841558321.

The spelling of 2812680000 in words is "two billion, eight hundred twelve million, six hundred eighty thousand".