2880970864 has 80 divisors (see below), whose sum is σ = 5876766720. Its totient is φ = 1366560000.

The previous prime is 2880970861. The next prime is 2880970879. The reversal of 2880970864 is 4680790882.

It is a super-3 number, since 3×2880970864³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880970861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6562357 + ... + 6562795.

It is an arithmetic number, because the mean of its divisors is an integer number (73459584).

Almost surely, 2^2880970864 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 2880970864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938383360).

2880970864 is an abundant number, since it is smaller than the sum of its proper divisors (2995795856).

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

2880970864 is a wasteful number, since it uses less digits than its factorization.

2880970864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 2880970864 is about 53674.6761890559. The cubic root of 2880970864 is about 1422.9171769671.

The spelling of 2880970864 in words is "two billion, eight hundred eighty million, nine hundred seventy thousand, eight hundred sixty-four".