2881042560 has 512 divisors, whose sum is σ = 11632896000. Its totient is φ = 667054080.

The previous prime is 2881042559. The next prime is 2881042597. The reversal of 2881042560 is 652401882.

2881042560 is a `hidden beast` number, since 2 + 88 + 10 + 4 + 2 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4371511 + ... + 4372169.

It is an arithmetic number, because the mean of its divisors is an integer number (22720500).

Almost surely, 2^2881042560 is an apocalyptic number.

2881042560 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 2881042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816448000).

2881042560 is an abundant number, since it is smaller than the sum of its proper divisors (8751853440).

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

2881042560 is a wasteful number, since it uses less digits than its factorization.

2881042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2881042560 is about 53675.3440603784. The cubic root of 2881042560 is about 1422.9289804677.

The spelling of 2881042560 in words is "two billion, eight hundred eighty-one million, forty-two thousand, five hundred sixty".