2792880 has 100 divisors (see below), whose sum is σ = 9722592. Its totient is φ = 743040.

The previous prime is 2792863. The next prime is 2792891. The reversal of 2792880 is 882972.

2792880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6265 + ... + 6695.

2^2792880 is an apocalyptic number.

2792880 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 2792880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861296).

2792880 is an abundant number, since it is smaller than the sum of its proper divisors (6929712).

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

2792880 is a wasteful number, since it uses less digits than its factorization.

2792880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2792880 is about 1671.1911919347. The cubic root of 2792880 is about 140.8264047414.

The spelling of 2792880 in words is "two million, seven hundred ninety-two thousand, eight hundred eighty".