2106184640 has 224 divisors, whose sum is σ = 6047232000. Its totient is φ = 697697280.

The previous prime is 2106184607. The next prime is 2106184697. The reversal of 2106184640 is 464816012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2106184597 and 2106184606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402251 + ... + 3402869.

Almost surely, 2^2106184640 is an apocalyptic number.

2106184640 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 2106184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023616000).

2106184640 is an abundant number, since it is smaller than the sum of its proper divisors (3941047360).

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

2106184640 is an equidigital number, since it uses as much as digits as its factorization.

2106184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2106184640 is about 45893.1872939764. The cubic root of 2106184640 is about 1281.8350632295.

The spelling of 2106184640 in words is "two billion, one hundred six million, one hundred eighty-four thousand, six hundred forty".