2880978360 has 384 divisors, whose sum is σ = 10211443200. Its totient is φ = 644474880.

The previous prime is 2880978337. The next prime is 2880978391. The reversal of 2880978360 is 638790882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40577125 + ... + 40577195.

It is an arithmetic number, because the mean of its divisors is an integer number (26592300).

Almost surely, 2^2880978360 is an apocalyptic number.

2880978360 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 2880978360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105721600).

2880978360 is an abundant number, since it is smaller than the sum of its proper divisors (7330464840).

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

2880978360 is a wasteful number, since it uses less digits than its factorization.

2880978360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2880978360 is about 53674.7460170982. The cubic root of 2880978360 is about 1422.9184110625.

The spelling of 2880978360 in words is "two billion, eight hundred eighty million, nine hundred seventy-eight thousand, three hundred sixty".