2132101920 has 384 divisors, whose sum is σ = 7772889600. Its totient is φ = 486604800.

The previous prime is 2132101901. The next prime is 2132101927. The reversal of 2132101920 is 291012312.

It is not an unprimeable number, because it can be changed into a prime (2132101927) 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, 10713981 + ... + 10714179.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 2^2132101920 is an apocalyptic number.

2132101920 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 2132101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886444800).

2132101920 is an abundant number, since it is smaller than the sum of its proper divisors (5640787680).

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

2132101920 is a wasteful number, since it uses less digits than its factorization.

2132101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

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

The square root of 2132101920 is about 46174.6891705835. The cubic root of 2132101920 is about 1287.0714408633.

The spelling of 2132101920 in words is "two billion, one hundred thirty-two million, one hundred one thousand, nine hundred twenty".