2881568 has 24 divisors (see below), whose sum is σ = 6007932. Its totient is φ = 1355776.

The previous prime is 2881561. The next prime is 2881573. The reversal of 2881568 is 8651882.

It can be written as a sum of positive squares in 2 ways, for example, as 2598544 + 283024 = 1612^2 + 532^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2881561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2105 + ... + 3192.

2^2881568 is an apocalyptic number.

It is an amenable number.

2881568 is an abundant number, since it is smaller than the sum of its proper divisors (3126364).

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

2881568 is a wasteful number, since it uses less digits than its factorization.

2881568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5316 counting only the distinct ones).

The product of its digits is 30720, while the sum is 38.

The square root of 2881568 is about 1697.5181884151. The cubic root of 2881568 is about 142.3015479057.

It can be divided in two parts, 288 and 1568, that multiplied together give a square (451584 = 672²).

The spelling of 2881568 in words is "two million, eight hundred eighty-one thousand, five hundred sixty-eight".