2280587904 has 192 divisors, whose sum is σ = 7675736640. Its totient is φ = 636346368.

The previous prime is 2280587857. The next prime is 2280587921. The reversal of 2280587904 is 4097850822.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2280587904² = 10402162375742226432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2280587904.

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 23 ways as a sum of consecutive naturals, for example, 343464 + ... + 350040.

It is an arithmetic number, because the mean of its divisors is an integer number (39977795).

Almost surely, 2^2280587904 is an apocalyptic number.

2280587904 is a gapful number since it is divisible by the number (24) 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 2280587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837868320).

2280587904 is an abundant number, since it is smaller than the sum of its proper divisors (5395148736).

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

2280587904 is a wasteful number, since it uses less digits than its factorization.

2280587904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2280587904 is about 47755.5012956623. The cubic root of 2280587904 is about 1316.2819891956.

The spelling of 2280587904 in words is "two billion, two hundred eighty million, five hundred eighty-seven thousand, nine hundred four".