2106984960 has 280 divisors, whose sum is σ = 7580982420. Its totient is φ = 561364992.

The previous prime is 2106984941. The next prime is 2106984973. The reversal of 2106984960 is 694896012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1903751424 + 203233536 = 43632^2 + 14256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1865676 + ... + 1866804.

Almost surely, 2^2106984960 is an apocalyptic number.

2106984960 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 2106984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790491210).

2106984960 is an abundant number, since it is smaller than the sum of its proper divisors (5473997460).

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

2106984960 is an frugal number, since it uses more digits than its factorization.

2106984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2106984960 is about 45901.9058427861. The cubic root of 2106984960 is about 1281.9974023245.

The spelling of 2106984960 in words is "two billion, one hundred six million, nine hundred eighty-four thousand, nine hundred sixty".