2109507840 has 576 divisors, whose sum is σ = 8476876800. Its totient is φ = 492134400.

The previous prime is 2109507817. The next prime is 2109507853. The reversal of 2109507840 is 487059012.

2109507840 is a `hidden beast` number, since 2 + 109 + 507 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 2109507795 and 2109507804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11784871 + ... + 11785049.

It is an arithmetic number, because the mean of its divisors is an integer number (14716800).

Almost surely, 2^2109507840 is an apocalyptic number.

2109507840 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 2109507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238438400).

2109507840 is an abundant number, since it is smaller than the sum of its proper divisors (6367368960).

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

2109507840 is a wasteful number, since it uses less digits than its factorization.

2109507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2109507840 is about 45929.3788331608. The cubic root of 2109507840 is about 1282.5088813037.

The spelling of 2109507840 in words is "two billion, one hundred nine million, five hundred seven thousand, eight hundred forty".