2132383242240 has 2304 divisors, whose sum is σ = 8808970060800. Its totient is φ = 491899060224.

The previous prime is 2132383242233. The next prime is 2132383242247. The reversal of 2132383242240 is 422423832312.

2132383242240 is a `hidden beast` number, since 2 + 1 + 32 + 383 + 2 + 4 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (2132383242233) and next prime (2132383242247).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2132383242195 and 2132383242204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132383242247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40233646054 + ... + 40233646106.

It is an arithmetic number, because the mean of its divisors is an integer number (3823337700).

Almost surely, 2^{2132383242240} is an apocalyptic number.

2132383242240 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 2132383242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404485030400).

2132383242240 is an abundant number, since it is smaller than the sum of its proper divisors (6676586818560).

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

2132383242240 is a wasteful number, since it uses less digits than its factorization.

2132383242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2132383242240 in words is "two trillion, one hundred thirty-two billion, three hundred eighty-three million, two hundred forty-two thousand, two hundred forty".