2571648 has 64 divisors (see below), whose sum is σ = 7054320. Its totient is φ = 829440.

The previous prime is 2571619. The next prime is 2571649. The reversal of 2571648 is 8461752.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2571648² = 13226746871808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2571649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14118 + ... + 14298.

2^2571648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2571648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527160).

2571648 is an abundant number, since it is smaller than the sum of its proper divisors (4482672).

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

2571648 is a wasteful number, since it uses less digits than its factorization.

2571648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 2571648 is about 1603.6358688929. The cubic root of 2571648 is about 137.0052389351.

The spelling of 2571648 in words is "two million, five hundred seventy-one thousand, six hundred forty-eight".