2571264 has 110 divisors (see below), whose sum is σ = 7925984. Its totient is φ = 829440.

The previous prime is 2571209. The next prime is 2571269. The reversal of 2571264 is 4621752.

It is a super-2 number, since 2×2571264² = 13222797115392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2571269) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82929 + ... + 82959.

2^2571264 is an apocalyptic number.

2571264 is a gapful number since it is divisible by the number (24) 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 2571264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962992).

2571264 is an abundant number, since it is smaller than the sum of its proper divisors (5354720).

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

2571264 is an equidigital number, since it uses as much as digits as its factorization.

2571264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2571264 is about 1603.5161364950. The cubic root of 2571264 is about 136.9984193612.

It can be divided in two parts, 257 and 1264, that added together give a square (1521 = 39²).

The spelling of 2571264 in words is "two million, five hundred seventy-one thousand, two hundred sixty-four".