2132512512 has 144 divisors (see below), whose sum is σ = 6153584640. Its totient is φ = 651718656.

The previous prime is 2132512511. The next prime is 2132512513. The reversal of 2132512512 is 2152152312.

It is an interprime number because it is at equal distance from previous prime (2132512511) and next prime (2132512513).

It is a super-2 number, since 2×2132512512² = 9095219227673100288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132512511) 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, 1666689 + ... + 1667967.

Almost surely, 2^2132512512 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 2132512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076792320).

2132512512 is an abundant number, since it is smaller than the sum of its proper divisors (4021072128).

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

2132512512 is a wasteful number, since it uses less digits than its factorization.

2132512512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1464 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 2132512512 is about 46179.1350287118. The cubic root of 2132512512 is about 1287.1540553188.

Adding to 2132512512 its reverse (2152152312), we get a palindrome (4284664824).

The spelling of 2132512512 in words is "two billion, one hundred thirty-two million, five hundred twelve thousand, five hundred twelve".