2879264000 has 72 divisors (see below), whose sum is σ = 7172686248. Its totient is φ = 1151692800.

The previous prime is 2879263999. The next prime is 2879264051. The reversal of 2879264000 is 4629782.

It can be written as a sum of positive squares in 4 ways, for example, as 28558336 + 2850705664 = 5344^2 + 53392^2 .

It is a super-2 number, since 2×2879264000² = 16580322363392000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12989 + ... + 76988.

Almost surely, 2^2879264000 is an apocalyptic number.

2879264000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2879264000 is an abundant number, since it is smaller than the sum of its proper divisors (4293422248).

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

2879264000 is an frugal number, since it uses more digits than its factorization.

2879264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90008 (or 89984 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2879264000 is about 53658.7737467043. The cubic root of 2879264000 is about 1422.6361136244.

The spelling of 2879264000 in words is "two billion, eight hundred seventy-nine million, two hundred sixty-four thousand".