2132241408 has 528 divisors, whose sum is σ = 7510688640. Its totient is φ = 597196800.

The previous prime is 2132241407. The next prime is 2132241413. The reversal of 2132241408 is 8041422312.

2132241408 is a `hidden beast` number, since 2 + 13 + 2 + 241 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132241407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52005868 + ... + 52005908.

Almost surely, 2^2132241408 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 2132241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755344320).

2132241408 is an abundant number, since it is smaller than the sum of its proper divisors (5378447232).

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

2132241408 is a wasteful number, since it uses less digits than its factorization.

2132241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2132241408 is about 46176.1995837683. The cubic root of 2132241408 is about 1287.0995081748.

The spelling of 2132241408 in words is "two billion, one hundred thirty-two million, two hundred forty-one thousand, four hundred eight".