2882880000 has 1200 divisors, whose sum is σ = 13959481536. Its totient is φ = 552960000.

The previous prime is 2882879981. The next prime is 2882880041. The reversal of 2882880000 is 882882.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 221759994 + ... + 221760006.

Almost surely, 2^2882880000 is an apocalyptic number.

2882880000 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 2882880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979740768).

2882880000 is an abundant number, since it is smaller than the sum of its proper divisors (11076601536).

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

2882880000 is a wasteful number, since it uses less digits than its factorization.

2882880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2882880000 is about 53692.4575708730. The cubic root of 2882880000 is about 1423.2314162402.

It can be divided in two parts, 288 and 2880000, that multiplied together give a square (829440000 = 28800²).

The spelling of 2882880000 in words is "two billion, eight hundred eighty-two million, eight hundred eighty thousand".