2888368230400 has 351 divisors, whose sum is σ = 7383243396451. Its totient is φ = 1120758661120.

The previous prime is 2888368230383. The next prime is 2888368230437. The reversal of 2888368230400 is 40328638882.

The square root of 2888368230400 is 1699520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1469487026176 + 1418881204224 = 1212224^2 + 1191168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25560780744 + ... + 25560780856.

Almost surely, 2^{2888368230400} is an apocalyptic number.

2888368230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2888368230400 is the 1699520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2888368230400

2888368230400 is an abundant number, since it is smaller than the sum of its proper divisors (4494875166051).

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

2888368230400 is an frugal number, since it uses more digits than its factorization.

2888368230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 2888368230400 in words is "two trillion, eight hundred eighty-eight billion, three hundred sixty-eight million, two hundred thirty thousand, four hundred".