2132864190 has 128 divisors (see below), whose sum is σ = 6008256000. Its totient is φ = 536917248.

The previous prime is 2132864179. The next prime is 2132864191. The reversal of 2132864190 is 914682312.

2132864190 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 8 + 641 + 9 + 0 = 666.

It is a super-2 number, since 2×2132864190² = 9098219305968712200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132864191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1943722 + ... + 1944818.

It is an arithmetic number, because the mean of its divisors is an integer number (46939500).

Almost surely, 2^2132864190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132864190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004128000).

2132864190 is an abundant number, since it is smaller than the sum of its proper divisors (3875391810).

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

2132864190 is a wasteful number, since it uses less digits than its factorization.

2132864190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2132864190 is about 46182.9426303695. The cubic root of 2132864190 is about 1287.2248073668.

The spelling of 2132864190 in words is "two billion, one hundred thirty-two million, eight hundred sixty-four thousand, one hundred ninety".