2874560 has 56 divisors (see below), whose sum is σ = 7382256. Its totient is φ = 1059840.

The previous prime is 2874559. The next prime is 2874569. The reversal of 2874560 is 654782.

2874560 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 (32).

It is not an unprimeable number, because it can be changed into a prime (2874569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3815 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (131826).

2^2874560 is an apocalyptic number.

2874560 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 2874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691128).

2874560 is an abundant number, since it is smaller than the sum of its proper divisors (4507696).

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

2874560 is a wasteful number, since it uses less digits than its factorization.

2874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2874560 is about 1695.4527418952. The cubic root of 2874560 is about 142.1860947009.

The spelling of 2874560 in words is "two million, eight hundred seventy-four thousand, five hundred sixty".