2571520 has 108 divisors (see below), whose sum is σ = 7340004. Its totient is φ = 860160.

The previous prime is 2571509. The next prime is 2571551. The reversal of 2571520 is 251752.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 2119936 = 672^2 + 1456^2 .

It is a super-2 number, since 2×2571520² = 13225430220800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2571491 and 2571500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62700 + ... + 62740.

It is an arithmetic number, because the mean of its divisors is an integer number (67963).

2^2571520 is an apocalyptic number.

2571520 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 2571520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670002).

2571520 is an abundant number, since it is smaller than the sum of its proper divisors (4768484).

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

2571520 is an equidigital number, since it uses as much as digits as its factorization.

2571520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 2571520 is about 1603.5959590870. The cubic root of 2571520 is about 137.0029658193.

The spelling of 2571520 in words is "two million, five hundred seventy-one thousand, five hundred twenty".