2880800133264 has 75 divisors (see below), whose sum is σ = 8338048225507. Its totient is φ = 960246343584.

The previous prime is 2880800133259. The next prime is 2880800133269. The reversal of 2880800133264 is 4623310080882.

The square root of 2880800133264 is 1697292.

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

2880800133264 is a `hidden beast` number, since 288 + 0 + 80 + 0 + 1 + 33 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (2880800133259) and next prime (2880800133269).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2880800133269) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 61078939 + ... + 61126085.

Almost surely, 2^{2880800133264} is an apocalyptic number.

2880800133264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2880800133264 is the 1697292-nd square number.

It is an amenable number.

2880800133264 is an abundant number, since it is smaller than the sum of its proper divisors (5457248092243).

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

2880800133264 is an frugal number, since it uses more digits than its factorization.

2880800133264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94314 (or 47152 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2880800133264 in words is "two trillion, eight hundred eighty billion, eight hundred million, one hundred thirty-three thousand, two hundred sixty-four".