2132319840 has 384 divisors, whose sum is σ = 8174960640. Its totient is φ = 456357888.

The previous prime is 2132319799. The next prime is 2132319919. The reversal of 2132319840 is 489132312.

2132319840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8107549 + ... + 8107811.

It is an arithmetic number, because the mean of its divisors is an integer number (21288960).

Almost surely, 2^2132319840 is an apocalyptic number.

2132319840 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 2132319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087480320).

2132319840 is an abundant number, since it is smaller than the sum of its proper divisors (6042640800).

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

2132319840 is a wasteful number, since it uses less digits than its factorization.

2132319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2132319840 is about 46177.0488446371. The cubic root of 2132319840 is about 1287.1152894634.

The spelling of 2132319840 in words is "two billion, one hundred thirty-two million, three hundred nineteen thousand, eight hundred forty".