2109967920 has 320 divisors, whose sum is σ = 7908243840. Its totient is φ = 514916352.

The previous prime is 2109967919. The next prime is 2109967927. The reversal of 2109967920 is 297699012.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2109967927) 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, 1357864 + ... + 1359416.

It is an arithmetic number, because the mean of its divisors is an integer number (24713262).

Almost surely, 2^2109967920 is an apocalyptic number.

2109967920 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 2109967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954121920).

2109967920 is an abundant number, since it is smaller than the sum of its proper divisors (5798275920).

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

2109967920 is a wasteful number, since it uses less digits than its factorization.

2109967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 2109967920 is about 45934.3871190201. The cubic root of 2109967920 is about 1282.6021121802.

The spelling of 2109967920 in words is "two billion, one hundred nine million, nine hundred sixty-seven thousand, nine hundred twenty".