2132684760 has 128 divisors (see below), whose sum is σ = 6586272000. Its totient is φ = 552147456.

The previous prime is 2132684759. The next prime is 2132684783. The reversal of 2132684760 is 674862312.

It is a happy number.

It is a Cunningham number, because it is equal to 46181²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922486 + ... + 924794.

It is an arithmetic number, because the mean of its divisors is an integer number (51455250).

Almost surely, 2^2132684760 is an apocalyptic number.

2132684760 is a gapful number since it is divisible by the number (20) 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 2132684760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136000).

2132684760 is an abundant number, since it is smaller than the sum of its proper divisors (4453587240).

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

2132684760 is a wasteful number, since it uses less digits than its factorization.

2132684760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2132684760 is about 46180.9999891730. Note that the first 4 decimals coincide. The cubic root of 2132684760 is about 1287.1887098623.

The spelling of 2132684760 in words is "two billion, one hundred thirty-two million, six hundred eighty-four thousand, seven hundred sixty".