2108937072 has 240 divisors, whose sum is σ = 6530832000. Its totient is φ = 583672320.

The previous prime is 2108937071. The next prime is 2108937073. The reversal of 2108937072 is 2707398012.

It is an interprime number because it is at equal distance from previous prime (2108937071) and next prime (2108937073).

It is a self number, because there is not a number n which added to its sum of digits gives 2108937072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108937071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3199879 + ... + 3200537.

It is an arithmetic number, because the mean of its divisors is an integer number (27211800).

Almost surely, 2^2108937072 is an apocalyptic number.

2108937072 is a gapful number since it is divisible by the number (22) 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 2108937072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265416000).

2108937072 is an abundant number, since it is smaller than the sum of its proper divisors (4421894928).

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

2108937072 is a wasteful number, since it uses less digits than its factorization.

2108937072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2108937072 is about 45923.1648735145. The cubic root of 2108937072 is about 1282.3932017053.

The spelling of 2108937072 in words is "two billion, one hundred eight million, nine hundred thirty-seven thousand, seventy-two".