2575664 has 80 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 967680.

The previous prime is 2575663. The next prime is 2575673. The reversal of 2575664 is 4665752.

2575664 = T₂₁₇ + T₂₁₈ + ... + T₂₉₄.

Its product of digits (50400) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2575663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42194 + ... + 42254.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

2^2575664 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 2575664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228960).

2575664 is an abundant number, since it is smaller than the sum of its proper divisors (3882256).

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

2575664 is a wasteful number, since it uses less digits than its factorization.

2575664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 2575664 is about 1604.8875350005. The cubic root of 2575664 is about 137.0765196697.

The spelling of 2575664 in words is "two million, five hundred seventy-five thousand, six hundred sixty-four".