2108384640 has 224 divisors, whose sum is σ = 7558750800. Its totient is φ = 562111488.

The previous prime is 2108384639. The next prime is 2108384657. The reversal of 2108384640 is 464838012.

2108384640 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 3 + 8 + 4 + 640 = 666.

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 = 2108384595 and 2108384604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 464301 + ... + 468819.

Almost surely, 2^2108384640 is an apocalyptic number.

2108384640 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 2108384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779375400).

2108384640 is an abundant number, since it is smaller than the sum of its proper divisors (5450366160).

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

2108384640 is an frugal number, since it uses more digits than its factorization.

2108384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2108384640 is about 45917.1497373258. The cubic root of 2108384640 is about 1282.2812184512.

The spelling of 2108384640 in words is "two billion, one hundred eight million, three hundred eighty-four thousand, six hundred forty".