2106840384 has 504 divisors, whose sum is σ = 7342855520. Its totient is φ = 574801920.

The previous prime is 2106840349. The next prime is 2106840409. The reversal of 2106840384 is 4830486012.

2106840384 is a `hidden beast` number, since 210 + 68 + 4 + 0 + 384 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48996267 + ... + 48996309.

Almost surely, 2^2106840384 is an apocalyptic number.

2106840384 is a gapful number since it is divisible by the number (24) 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 2106840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671427760).

2106840384 is an abundant number, since it is smaller than the sum of its proper divisors (5236015136).

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

2106840384 is a wasteful number, since it uses less digits than its factorization.

2106840384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

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

The square root of 2106840384 is about 45900.3309791988. The cubic root of 2106840384 is about 1281.9680791765.

The spelling of 2106840384 in words is "two billion, one hundred six million, eight hundred forty thousand, three hundred eighty-four".