2560152 has 64 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 729120.

The previous prime is 2560147. The next prime is 2560157. The reversal of 2560152 is 2510652.

It is an interprime number because it is at equal distance from previous prime (2560147) and next prime (2560157).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8077 + ... + 8387.

It is an arithmetic number, because the mean of its divisors is an integer number (117000).

2^2560152 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 2560152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2560152 is an abundant number, since it is smaller than the sum of its proper divisors (4927848).

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

2560152 is a wasteful number, since it uses less digits than its factorization.

2560152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2560152 is about 1600.0474992949. The cubic root of 2560152 is about 136.8007831425.

Subtracting from 2560152 its product of nonzero digits (600), we obtain a palindrome (2559552).

The spelling of 2560152 in words is "two million, five hundred sixty thousand, one hundred fifty-two".