2152662512 has 240 divisors, whose sum is σ = 5772844800. Its totient is φ = 770515200.

The previous prime is 2152662461. The next prime is 2152662521.

2152662512 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10202087 + ... + 10202297.

It is an arithmetic number, because the mean of its divisors is an integer number (24053520).

Almost surely, 2^2152662512 is an apocalyptic number.

2152662512 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 2152662512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886422400).

2152662512 is an abundant number, since it is smaller than the sum of its proper divisors (3620182288).

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

2152662512 is a wasteful number, since it uses less digits than its factorization.

2152662512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 244 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 2152662512 is about 46396.7941995996. The cubic root of 2152662512 is about 1291.1954369314.

The spelling of 2152662512 in words is "two billion, one hundred fifty-two million, six hundred sixty-two thousand, five hundred twelve".