2109517920 has 288 divisors, whose sum is σ = 7472424960. Its totient is φ = 541578240.

The previous prime is 2109517903. The next prime is 2109517939. The reversal of 2109517920 is 297159012.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×2109517920⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4805061 + ... + 4805499.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^2109517920 is an apocalyptic number.

2109517920 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 2109517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736212480).

2109517920 is an abundant number, since it is smaller than the sum of its proper divisors (5362907040).

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

2109517920 is a wasteful number, since it uses less digits than its factorization.

2109517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 2109517920 is about 45929.4885667150. The cubic root of 2109517920 is about 1282.5109240660.

The spelling of 2109517920 in words is "two billion, one hundred nine million, five hundred seventeen thousand, nine hundred twenty".