2106684720 has 320 divisors, whose sum is σ = 8339466240. Its totient is φ = 478835712.

The previous prime is 2106684709. The next prime is 2106684721. The reversal of 2106684720 is 274866012.

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

It is not an unprimeable number, because it can be changed into a prime (2106684721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4187989 + ... + 4188491.

It is an arithmetic number, because the mean of its divisors is an integer number (26060832).

Almost surely, 2^2106684720 is an apocalyptic number.

2106684720 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 2106684720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169733120).

2106684720 is an abundant number, since it is smaller than the sum of its proper divisors (6232781520).

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

2106684720 is a wasteful number, since it uses less digits than its factorization.

2106684720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2106684720 is about 45898.6352738292. The cubic root of 2106684720 is about 1281.9365056417.

The spelling of 2106684720 in words is "two billion, one hundred six million, six hundred eighty-four thousand, seven hundred twenty".