2880576000000 has 728 divisors, whose sum is σ = 10673760249120. Its totient is φ = 767692800000.

The previous prime is 2880575999999. The next prime is 2880576000007. The reversal of 2880576000000 is 6750882.

2880576000000 is a `hidden beast` number, since 2 + 8 + 80 + 576 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2880576000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1727999167 + ... + 1728000833.

Almost surely, 2^{2880576000000} is an apocalyptic number.

2880576000000 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 2880576000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336880124560).

2880576000000 is an abundant number, since it is smaller than the sum of its proper divisors (7793184249120).

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

2880576000000 is an frugal number, since it uses more digits than its factorization.

2880576000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2880576000000 in words is "two trillion, eight hundred eighty billion, five hundred seventy-six million", and thus it is an aban number.