2571920 has 40 divisors (see below), whose sum is σ = 6442296. Its totient is φ = 949248.

The previous prime is 2571911. The next prime is 2571937. The reversal of 2571920 is 291752.

2571920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 2408704 = 404^2 + 1552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2571920² = 13229544972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2571920.

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 7 ways as a sum of consecutive naturals, for example, 197 + ... + 2276.

2^2571920 is an apocalyptic number.

2571920 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 2571920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221148).

2571920 is an abundant number, since it is smaller than the sum of its proper divisors (3870376).

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

2571920 is a wasteful number, since it uses less digits than its factorization.

2571920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 2571920 is about 1603.7206739330. The cubic root of 2571920 is about 137.0100690559.

The spelling of 2571920 in words is "two million, five hundred seventy-one thousand, nine hundred twenty".