2161920000 has 240 divisors, whose sum is σ = 7215127920. Its totient is φ = 575488000.

The previous prime is 2161919957. The next prime is 2161920011. The reversal of 2161920000 is 291612.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839719 + ... + 3840281.

It is an arithmetic number, because the mean of its divisors is an integer number (30063033).

Almost surely, 2^2161920000 is an apocalyptic number.

2161920000 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 2161920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607563960).

2161920000 is an abundant number, since it is smaller than the sum of its proper divisors (5053207920).

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

2161920000 is an frugal number, since it uses more digits than its factorization.

2161920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2161920000 is about 46496.4514775052. The cubic root of 2161920000 is about 1293.0437112021.

The spelling of 2161920000 in words is "two billion, one hundred sixty-one million, nine hundred twenty thousand".