2170451668 has 72 divisors (see below), whose sum is σ = 4830555744. Its totient is φ = 843796800.

The previous prime is 2170451663. The next prime is 2170451671. The reversal of 2170451668 is 8661540712.

2170451668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2170451668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170451663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424355 + ... + 1425877.

It is an arithmetic number, because the mean of its divisors is an integer number (67091052).

Almost surely, 2^2170451668 is an apocalyptic number.

2170451668 is a gapful number since it is divisible by the number (28) 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 2170451668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415277872).

2170451668 is an abundant number, since it is smaller than the sum of its proper divisors (2660104076).

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

2170451668 is a wasteful number, since it uses less digits than its factorization.

2170451668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 2170451668 is about 46588.1065079919. The cubic root of 2170451668 is about 1294.7424079810.

The spelling of 2170451668 in words is "two billion, one hundred seventy million, four hundred fifty-one thousand, six hundred sixty-eight".