2572164 has 72 divisors (see below), whose sum is σ = 7600320. Its totient is φ = 718272.

The previous prime is 2572153. The next prime is 2572183. The reversal of 2572164 is 4612752.

2572164 = T₁₄₇ + T₁₄₈ + ... + T₂₆₄.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14782 + ... + 14954.

It is an arithmetic number, because the mean of its divisors is an integer number (105560).

2^2572164 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 2572164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800160).

2572164 is an abundant number, since it is smaller than the sum of its proper divisors (5028156).

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

2572164 is a wasteful number, since it uses less digits than its factorization.

2572164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

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

The square root of 2572164 is about 1603.7967452268. The cubic root of 2572164 is about 137.0144016686.

The spelling of 2572164 in words is "two million, five hundred seventy-two thousand, one hundred sixty-four".