2152592 has 40 divisors (see below), whose sum is σ = 4583040. Its totient is φ = 973440.

The previous prime is 2152589. The next prime is 2152607. The reversal of 2152592 is 2952512.

It is a Harshad number since it is a multiple of its sum of digits (26).

Its product of digits (1800) is a multiple of the sum of its prime divisors (225).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16367 + ... + 16497.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

2^2152592 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 2152592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291520).

2152592 is an abundant number, since it is smaller than the sum of its proper divisors (2430448).

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

2152592 is a wasteful number, since it uses less digits than its factorization.

2152592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its digits is 1800, while the sum is 26.

The square root of 2152592 is about 1467.1714282932. The cubic root of 2152592 is about 129.1181338768.

It can be divided in two parts, 2152 and 592, that added together give a cube (2744 = 14³).

The spelling of 2152592 in words is "two million, one hundred fifty-two thousand, five hundred ninety-two".