2131363584 has 576 divisors, whose sum is σ = 7848960000. Its totient is φ = 568995840.

The previous prime is 2131363583. The next prime is 2131363621. The reversal of 2131363584 is 4853631312.

2131363584 is a `hidden beast` number, since 2 + 1 + 3 + 13 + 63 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131363583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68753649 + ... + 68753679.

Almost surely, 2^2131363584 is an apocalyptic number.

2131363584 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 2131363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924480000).

2131363584 is an abundant number, since it is smaller than the sum of its proper divisors (5717596416).

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

2131363584 is an equidigital number, since it uses as much as digits as its factorization.

2131363584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2131363584 is about 46166.6934488490. The cubic root of 2131363584 is about 1286.9228549561.

Adding to 2131363584 its reverse (4853631312), we get a palindrome (6984994896).

The spelling of 2131363584 in words is "two billion, one hundred thirty-one million, three hundred sixty-three thousand, five hundred eighty-four".