2132913484800 has 1584 divisors, whose sum is σ = 9260880059392. Its totient is φ = 458647142400.

The previous prime is 2132913484739. The next prime is 2132913484841. The reversal of 2132913484800 is 84843192312.

2132913484800 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 91 + 3 + 484 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1849881024 + ... + 1849882176.

Almost surely, 2^{2132913484800} is an apocalyptic number.

2132913484800 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 2132913484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630440029696).

2132913484800 is an abundant number, since it is smaller than the sum of its proper divisors (7127966574592).

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

2132913484800 is a wasteful number, since it uses less digits than its factorization.

2132913484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2132913484800 in words is "two trillion, one hundred thirty-two billion, nine hundred thirteen million, four hundred eighty-four thousand, eight hundred".