2799264400 has 30 divisors (see below), whose sum is σ = 6725233682. Its totient is φ = 1119705600.

The previous prime is 2799264397. The next prime is 2799264407. The reversal of 2799264400 is 44629972.

It can be written as a sum of positive squares in 3 ways, for example, as 839608576 + 1959655824 = 28976^2 + 44268^2 .

It is a super-2 number, since 2×2799264400² = 15671762362214720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2799264407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3498681 + ... + 3499480.

Almost surely, 2^2799264400 is an apocalyptic number.

2799264400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2799264400 is an abundant number, since it is smaller than the sum of its proper divisors (3925969282).

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

2799264400 is a wasteful number, since it uses less digits than its factorization.

2799264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998179 (or 6998168 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 2799264400 is about 52908.0749980568. The cubic root of 2799264400 is about 1409.3363071991.

The spelling of 2799264400 in words is "two billion, seven hundred ninety-nine million, two hundred sixty-four thousand, four hundred".