2880878952 has 256 divisors, whose sum is σ = 8974080000. Its totient is φ = 768144384.

The previous prime is 2880878929. The next prime is 2880878969. The reversal of 2880878952 is 2598780882.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2880878892 and 2880878901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17674023 + ... + 17674185.

It is an arithmetic number, because the mean of its divisors is an integer number (35055000).

Almost surely, 2^2880878952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880878952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487040000).

2880878952 is an abundant number, since it is smaller than the sum of its proper divisors (6093201048).

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

2880878952 is a wasteful number, since it uses less digits than its factorization.

2880878952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The square root of 2880878952 is about 53673.8199870291. The cubic root of 2880878952 is about 1422.9020449670.

The spelling of 2880878952 in words is "two billion, eight hundred eighty million, eight hundred seventy-eight thousand, nine hundred fifty-two".