2132403585984 has 224 divisors, whose sum is σ = 7166367541760. Its totient is φ = 609092960256.

The previous prime is 2132403585979. The next prime is 2132403586069. The reversal of 2132403585984 is 4895853042312.

2132403585984 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 40 + 3 + 5 + 8 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2132403585984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48688704 + ... + 48732480.

It is an arithmetic number, because the mean of its divisors is an integer number (31992712240).

Almost surely, 2^{2132403585984} is an apocalyptic number.

2132403585984 is a gapful number since it is divisible by the number (24) 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 2132403585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583183770880).

2132403585984 is an abundant number, since it is smaller than the sum of its proper divisors (5033963955776).

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

2132403585984 is a wasteful number, since it uses less digits than its factorization.

2132403585984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47832 (or 47816 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2132403585984 in words is "two trillion, one hundred thirty-two billion, four hundred three million, five hundred eighty-five thousand, nine hundred eighty-four".