2109517740 has 144 divisors (see below), whose sum is σ = 7008857856. Its totient is φ = 509328000.

The previous prime is 2109517727. The next prime is 2109517829. The reversal of 2109517740 is 477159012.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2109517695 and 2109517704.

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, 518715 + ... + 522765.

It is an arithmetic number, because the mean of its divisors is an integer number (48672624).

Almost surely, 2^2109517740 is an apocalyptic number.

2109517740 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 2109517740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504428928).

2109517740 is an abundant number, since it is smaller than the sum of its proper divisors (4899340116).

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

2109517740 is a wasteful number, since it uses less digits than its factorization.

2109517740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2109517740 is about 45929.4866071895. The cubic root of 2109517740 is about 1282.5108875881.

The spelling of 2109517740 in words is "two billion, one hundred nine million, five hundred seventeen thousand, seven hundred forty".