2575164272 has 80 divisors (see below), whose sum is σ = 5414653440. Its totient is φ = 1182779136.

The previous prime is 2575164253. The next prime is 2575164307. The reversal of 2575164272 is 2724615752.

Its product of digits (235200) is a multiple of the sum of its prime divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2422013 + ... + 2423075.

It is an arithmetic number, because the mean of its divisors is an integer number (67683168).

Almost surely, 2^2575164272 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 2575164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707326720).

2575164272 is an abundant number, since it is smaller than the sum of its proper divisors (2839489168).

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

2575164272 is a wasteful number, since it uses less digits than its factorization.

2575164272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its digits is 235200, while the sum is 41.

The square root of 2575164272 is about 50746.0764197588. The cubic root of 2575164272 is about 1370.6765394215.

The spelling of 2575164272 in words is "two billion, five hundred seventy-five million, one hundred sixty-four thousand, two hundred seventy-two".