2130817920 has 768 divisors, whose sum is σ = 9041932800. Its totient is φ = 421478400.

The previous prime is 2130817903. The next prime is 2130817921. The reversal of 2130817920 is 297180312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130817921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30011485 + ... + 30011555.

It is an arithmetic number, because the mean of its divisors is an integer number (11773350).

Almost surely, 2^2130817920 is an apocalyptic number.

2130817920 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 2130817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520966400).

2130817920 is an abundant number, since it is smaller than the sum of its proper divisors (6911114880).

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

2130817920 is a wasteful number, since it uses less digits than its factorization.

2130817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2130817920 is about 46160.7833555714. The cubic root of 2130817920 is about 1286.8130211367.

The spelling of 2130817920 in words is "two billion, one hundred thirty million, eight hundred seventeen thousand, nine hundred twenty".