2132768 has 48 divisors (see below), whose sum is σ = 4699296. Its totient is φ = 944640.

The previous prime is 2132761. The next prime is 2132771. The reversal of 2132768 is 8672312.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2132768.

It is not an unprimeable number, because it can be changed into a prime (2132761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25655 + ... + 25737.

It is an arithmetic number, because the mean of its divisors is an integer number (97902).

2^2132768 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 2132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349648).

2132768 is an abundant number, since it is smaller than the sum of its proper divisors (2566528).

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

2132768 is a wasteful number, since it uses less digits than its factorization.

2132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 2132768 is about 1460.3999452205. The cubic root of 2132768 is about 128.7205456234.

The spelling of 2132768 in words is "two million, one hundred thirty-two thousand, seven hundred sixty-eight".