2171713920 has 256 divisors, whose sum is σ = 7138368000. Its totient is φ = 561397760.

The previous prime is 2171713883. The next prime is 2171713937. The reversal of 2171713920 is 293171712.

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, 12132391 + ... + 12132569.

It is an arithmetic number, because the mean of its divisors is an integer number (27884250).

Almost surely, 2^2171713920 is an apocalyptic number.

2171713920 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 2171713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569184000).

2171713920 is an abundant number, since it is smaller than the sum of its proper divisors (4966654080).

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

2171713920 is a wasteful number, since it uses less digits than its factorization.

2171713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 2171713920 is about 46601.6514728824. The cubic root of 2171713920 is about 1294.9933502936.

The spelling of 2171713920 in words is "two billion, one hundred seventy-one million, seven hundred thirteen thousand, nine hundred twenty".