2574880 has 144 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 760320.

The previous prime is 2574853. The next prime is 2574889. The reversal of 2574880 is 884752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2574889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135511 + ... + 135529.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

2^2574880 is an apocalyptic number.

2574880 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 2574880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2574880 is an abundant number, since it is smaller than the sum of its proper divisors (5468960).

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

2574880 is a wasteful number, since it uses less digits than its factorization.

2574880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 2574880 is about 1604.6432625353. The cubic root of 2574880 is about 137.0626101306.

The spelling of 2574880 in words is "two million, five hundred seventy-four thousand, eight hundred eighty".