2132682240 has 320 divisors, whose sum is σ = 7535892672. Its totient is φ = 511180800.

The previous prime is 2132682229. The next prime is 2132682241. The reversal of 2132682240 is 422862312.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2132682240² = 9096667073622835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2132682198 and 2132682207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132682241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4093180 + ... + 4093700.

Almost surely, 2^2132682240 is an apocalyptic number.

2132682240 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 2132682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767946336).

2132682240 is an abundant number, since it is smaller than the sum of its proper divisors (5403210432).

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

2132682240 is a wasteful number, since it uses less digits than its factorization.

2132682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2132682240 is about 46180.9727052170. The cubic root of 2132682240 is about 1287.1882028774.

The spelling of 2132682240 in words is "two billion, one hundred thirty-two million, six hundred eighty-two thousand, two hundred forty".