2170993344 has 112 divisors (see below), whose sum is σ = 6214152672. Its totient is φ = 664952832.

The previous prime is 2170993339. The next prime is 2170993351. The reversal of 2170993344 is 4433990712.

It is a junction number, because it is equal to n+sod(n) for n = 2170993296 and 2170993305.

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 15 ways as a sum of consecutive naturals, for example, 579702 + ... + 583434.

It is an arithmetic number, because the mean of its divisors is an integer number (55483506).

Almost surely, 2^2170993344 is an apocalyptic number.

2170993344 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 2170993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107076336).

2170993344 is an abundant number, since it is smaller than the sum of its proper divisors (4043159328).

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

2170993344 is a wasteful number, since it uses less digits than its factorization.

2170993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 2170993344 is about 46593.9196033130. The cubic root of 2170993344 is about 1294.8501079226.

The spelling of 2170993344 in words is "two billion, one hundred seventy million, nine hundred ninety-three thousand, three hundred forty-four".