2152442512 has 80 divisors (see below), whose sum is σ = 4837101120. Its totient is φ = 917568000.

The previous prime is 2152442497. The next prime is 2152442521.

It is a happy number.

2152442512 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 334558 + ... + 340930.

It is an arithmetic number, because the mean of its divisors is an integer number (60463764).

Almost surely, 2^2152442512 is an apocalyptic number.

2152442512 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 2152442512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418550560).

2152442512 is an abundant number, since it is smaller than the sum of its proper divisors (2684658608).

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

2152442512 is a wasteful number, since it uses less digits than its factorization.

2152442512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6506 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 2152442512 is about 46394.4232855631. The cubic root of 2152442512 is about 1291.1514491300.

The spelling of 2152442512 in words is "two billion, one hundred fifty-two million, four hundred forty-two thousand, five hundred twelve".