2881474560 has 364 divisors, whose sum is σ = 10421016132. Its totient is φ = 764411904.

The previous prime is 2881474511. The next prime is 2881474571. The reversal of 2881474560 is 654741882.

2881474560 is a `hidden beast` number, since 2 + 8 + 8 + 14 + 74 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 862949376 + 2018525184 = 29376^2 + 44928^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929824 + ... + 14930016.

Almost surely, 2^2881474560 is an apocalyptic number.

2881474560 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 2881474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210508066).

2881474560 is an abundant number, since it is smaller than the sum of its proper divisors (7539541572).

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

2881474560 is an frugal number, since it uses more digits than its factorization.

2881474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2881474560 is about 53679.3681035833. The cubic root of 2881474560 is about 1423.0000976166. Note that the first 4 decimals are identical.

The spelling of 2881474560 in words is "two billion, eight hundred eighty-one million, four hundred seventy-four thousand, five hundred sixty".