2539152 has 120 divisors (see below), whose sum is σ = 8898240. Its totient is φ = 656640.

The previous prime is 2539151. The next prime is 2539157. The reversal of 2539152 is 2519352.

2539152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2539151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10974 + ... + 11202.

It is an arithmetic number, because the mean of its divisors is an integer number (74152).

2^2539152 is an apocalyptic number.

2539152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2539152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449120).

2539152 is an abundant number, since it is smaller than the sum of its proper divisors (6359088).

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

2539152 is a wasteful number, since it uses less digits than its factorization.

2539152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2539152 is about 1593.4716815808. The cubic root of 2539152 is about 136.4257133121.

The spelling of 2539152 in words is "two million, five hundred thirty-nine thousand, one hundred fifty-two".