2132705433600 has 3456 divisors, whose sum is σ = 10266092928000. Its totient is φ = 411083735040.

The previous prime is 2132705433589. The next prime is 2132705433641. The reversal of 2132705433600 is 63345072312.

2132705433600 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 7 + 0 + 5 + 43 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23962982356 + ... + 23962982444.

It is an arithmetic number, because the mean of its divisors is an integer number (2970513000).

Almost surely, 2^{2132705433600} is an apocalyptic number.

2132705433600 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 2132705433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133046464000).

2132705433600 is an abundant number, since it is smaller than the sum of its proper divisors (8133387494400).

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

2132705433600 is a wasteful number, since it uses less digits than its factorization.

2132705433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 2132705433600 in words is "two trillion, one hundred thirty-two billion, seven hundred five million, four hundred thirty-three thousand, six hundred".