2880230400 has 396 divisors, whose sum is σ = 10717633472. Its totient is φ = 766402560.

The previous prime is 2880230399. The next prime is 2880230447. The reversal of 2880230400 is 40320882.

2880230400 is a `hidden beast` number, since 28 + 8 + 0 + 230 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 6220569 + ... + 6221031.

Almost surely, 2^2880230400 is an apocalyptic number.

2880230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358816736).

2880230400 is an abundant number, since it is smaller than the sum of its proper divisors (7837403072).

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

2880230400 is an equidigital number, since it uses as much as digits as its factorization.

2880230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2880230400 is about 53667.7780423226. The cubic root of 2880230400 is about 1422.7952609796.

The spelling of 2880230400 in words is "two billion, eight hundred eighty million, two hundred thirty thousand, four hundred".