2106109440 has 120 divisors (see below), whose sum is σ = 7294129128. Its totient is φ = 561623040.

The previous prime is 2106109429. The next prime is 2106109459. The reversal of 2106109440 is 449016012.

2106109440 is a `hidden beast` number, since 2 + 1 + 0 + 610 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2106109440² = 8871393946514227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22666 + ... + 68745.

Almost surely, 2^2106109440 is an apocalyptic number.

2106109440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106109440 is an abundant number, since it is smaller than the sum of its proper divisors (5188019688).

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

2106109440 is an equidigital number, since it uses as much as digits as its factorization.

2106109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91440 (or 91421 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2106109440 is about 45892.3679929463. The cubic root of 2106109440 is about 1281.8198073425.

The spelling of 2106109440 in words is "two billion, one hundred six million, one hundred nine thousand, four hundred forty".