2892880 has 20 divisors (see below), whose sum is σ = 6726132. Its totient is φ = 1157120.

The previous prime is 2892853. The next prime is 2892881. The reversal of 2892880 is 882982.

It can be written as a sum of positive squares in 2 ways, for example, as 1700416 + 1192464 = 1304^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18001 + ... + 18160.

2^2892880 is an apocalyptic number.

2892880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2892880 is an abundant number, since it is smaller than the sum of its proper divisors (3833252).

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

2892880 is a wasteful number, since it uses less digits than its factorization.

2892880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36174 (or 36168 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 2892880 is about 1700.8468478967. The cubic root of 2892880 is about 142.4875130127.

The spelling of 2892880 in words is "two million, eight hundred ninety-two thousand, eight hundred eighty".