2132744368320 has 448 divisors, whose sum is σ = 7705249390080. Its totient is φ = 555041894400.

The previous prime is 2132744368213. The next prime is 2132744368331. The reversal of 2132744368320 is 238634472312.

2132744368320 is a `hidden beast` number, since 2 + 13 + 274 + 4 + 368 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884587915 + ... + 884590325.

Almost surely, 2^{2132744368320} is an apocalyptic number.

2132744368320 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 2132744368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852624695040).

2132744368320 is an abundant number, since it is smaller than the sum of its proper divisors (5572505021760).

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

2132744368320 is a wasteful number, since it uses less digits than its factorization.

2132744368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2132744368320 in words is "two trillion, one hundred thirty-two billion, seven hundred forty-four million, three hundred sixty-eight thousand, three hundred twenty".