2878583904 has 288 divisors, whose sum is σ = 9921300480. Its totient is φ = 773369856.

The previous prime is 2878583899. The next prime is 2878583921. The reversal of 2878583904 is 4093858782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8541624 + ... + 8541960.

It is an arithmetic number, because the mean of its divisors is an integer number (34448960).

Almost surely, 2^2878583904 is an apocalyptic number.

2878583904 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 2878583904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960650240).

2878583904 is an abundant number, since it is smaller than the sum of its proper divisors (7042716576).

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

2878583904 is a wasteful number, since it uses less digits than its factorization.

2878583904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 2878583904 is about 53652.4361422666. The cubic root of 2878583904 is about 1422.5240936407.

The spelling of 2878583904 in words is "two billion, eight hundred seventy-eight million, five hundred eighty-three thousand, nine hundred four".