2584152 has 48 divisors (see below), whose sum is σ = 7371000. Its totient is φ = 815616.

The previous prime is 2584147. The next prime is 2584159. The reversal of 2584152 is 2514852.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424 + ... + 2312.

2^2584152 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 2584152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685500).

2584152 is an abundant number, since it is smaller than the sum of its proper divisors (4786848).

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

2584152 is a wasteful number, since it uses less digits than its factorization.

2584152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1913 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2584152 is about 1607.5297819947. The cubic root of 2584152 is about 137.2269313354.

The spelling of 2584152 in words is "two million, five hundred eighty-four thousand, one hundred fifty-two".