2108577240 has 768 divisors, whose sum is σ = 9192268800. Its totient is φ = 406425600.

The previous prime is 2108577221. The next prime is 2108577253. The reversal of 2108577240 is 427758012.

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 = 2108577195 and 2108577204.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 34566810 + ... + 34566870.

It is an arithmetic number, because the mean of its divisors is an integer number (11969100).

Almost surely, 2^2108577240 is an apocalyptic number.

2108577240 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 2108577240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

2108577240 is an abundant number, since it is smaller than the sum of its proper divisors (7083691560).

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

2108577240 is a wasteful number, since it uses less digits than its factorization.

2108577240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2108577240 is about 45919.2469450447. The cubic root of 2108577240 is about 1282.3202625355.

The spelling of 2108577240 in words is "two billion, one hundred eight million, five hundred seventy-seven thousand, two hundred forty".