2152512 has 84 divisors (see below), whose sum is σ = 6399276. Its totient is φ = 691200.

The previous prime is 2152511. The next prime is 2152517.

2152512 is a `hidden beast` number, since 2 + 152 + 512 = 666.

2152512 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 147456 = 1416^2 + 384^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2152511) 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, 21262 + ... + 21362.

2^2152512 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 2152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199638).

2152512 is an abundant number, since it is smaller than the sum of its proper divisors (4246764).

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

2152512 is a wasteful number, since it uses less digits than its factorization.

2152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 2152512 is about 1467.1441646955. The cubic root of 2152512 is about 129.1165343201.

The spelling of 2152512 in words is "two million, one hundred fifty-two thousand, five hundred twelve".