2880538920000 has 420 divisors, whose sum is σ = 11791299776256. Its totient is φ = 658408320000.

The previous prime is 2880538919939. The next prime is 2880538920031. The reversal of 2880538920000 is 298350882.

2880538920000 is a `hidden beast` number, since 28 + 8 + 0 + 538 + 92 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1948465 + ... + 3091535.

Almost surely, 2^{2880538920000} is an apocalyptic number.

2880538920000 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 2880538920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895649888128).

2880538920000 is an abundant number, since it is smaller than the sum of its proper divisors (8910760856256).

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

2880538920000 is a wasteful number, since it uses less digits than its factorization.

2880538920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143116 (or 1143088 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2880538920000 in words is "two trillion, eight hundred eighty billion, five hundred thirty-eight million, nine hundred twenty thousand".