2880263880 has 256 divisors, whose sum is σ = 10391270400. Its totient is φ = 705438720.

The previous prime is 2880263843. The next prime is 2880263891. The reversal of 2880263880 is 883620882.

2880263880 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 2 + 638 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3804462 + ... + 3805218.

It is an arithmetic number, because the mean of its divisors is an integer number (40590900).

Almost surely, 2^2880263880 is an apocalyptic number.

2880263880 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 2880263880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195635200).

2880263880 is an abundant number, since it is smaller than the sum of its proper divisors (7511006520).

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

2880263880 is a wasteful number, since it uses less digits than its factorization.

2880263880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2880263880 is about 53668.0899604225. The cubic root of 2880263880 is about 1422.8007738488.

The spelling of 2880263880 in words is "two billion, eight hundred eighty million, two hundred sixty-three thousand, eight hundred eighty".