2880242860 has 72 divisors (see below), whose sum is σ = 6863004288. Its totient is φ = 1013548800.

The previous prime is 2880242839. The next prime is 2880242881. The reversal of 2880242860 is 682420882.

It is an interprime number because it is at equal distance from previous prime (2880242839) and next prime (2880242881).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55824 + ... + 94216.

It is an arithmetic number, because the mean of its divisors is an integer number (95319504).

Almost surely, 2^2880242860 is an apocalyptic number.

2880242860 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 2880242860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431502144).

2880242860 is an abundant number, since it is smaller than the sum of its proper divisors (3982761428).

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

2880242860 is a wasteful number, since it uses less digits than its factorization.

2880242860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38455 (or 38442 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 2880242860 is about 53667.8941267496. The cubic root of 2880242860 is about 1422.7973126677.

The spelling of 2880242860 in words is "two billion, eight hundred eighty million, two hundred forty-two thousand, eight hundred sixty".