2288402304800 has 72 divisors (see below), whose sum is σ = 5592426069636. Its totient is φ = 914400112640.

The previous prime is 2288402304779. The next prime is 2288402304823. The reversal of 2288402304800 is 84032048822.

It can be written as a sum of positive squares in 6 ways, for example, as 584448018064 + 1703954286736 = 764492^2 + 1305356^2 .

It is a super-3 number, since 3×2288402304800³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738389 + ... + 2263188.

Almost surely, 2^{2288402304800} is an apocalyptic number.

2288402304800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2288402304800 is an abundant number, since it is smaller than the sum of its proper divisors (3304023764836).

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

2288402304800 is a wasteful number, since it uses less digits than its factorization.

2288402304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002550 (or 3002537 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The spelling of 2288402304800 in words is "two trillion, two hundred eighty-eight billion, four hundred two million, three hundred four thousand, eight hundred".