2563152 has 40 divisors (see below), whose sum is σ = 6728736. Its totient is φ = 840576.

The previous prime is 2563151. The next prime is 2563153. The reversal of 2563152 is 2513652.

It is an interprime number because it is at equal distance from previous prime (2563151) and next prime (2563153).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2818 + ... + 3614.

2^2563152 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 2563152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364368).

2563152 is an abundant number, since it is smaller than the sum of its proper divisors (4165584).

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

2563152 is a wasteful number, since it uses less digits than its factorization.

2563152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 2563152 is about 1600.9846969912. The cubic root of 2563152 is about 136.8541969176.

The spelling of 2563152 in words is "two million, five hundred sixty-three thousand, one hundred fifty-two".