2583152 has 40 divisors (see below), whose sum is σ = 5885040. Its totient is φ = 1082880.

The previous prime is 2583143. The next prime is 2583169. The reversal of 2583152 is 2513852.

2583152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 2⁸ + 5² + 8⁵ + 3¹² + 1 + 5⁹ + 2¹⁶ .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1724 + ... + 2852.

It is an arithmetic number, because the mean of its divisors is an integer number (147126).

2^2583152 is an apocalyptic number.

2583152 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 2583152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942520).

2583152 is an abundant number, since it is smaller than the sum of its proper divisors (3301888).

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

2583152 is a wasteful number, since it uses less digits than its factorization.

2583152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 2583152 is about 1607.2187156700. The cubic root of 2583152 is about 137.2092279604.

The spelling of 2583152 in words is "two million, five hundred eighty-three thousand, one hundred fifty-two".