2161675600 has 240 divisors, whose sum is σ = 6310310400. Its totient is φ = 695139840.

The previous prime is 2161675589. The next prime is 2161675603. The reversal of 2161675600 is 65761612.

It is a happy number.

2161675600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161675603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9522687 + ... + 9522913.

It is an arithmetic number, because the mean of its divisors is an integer number (26292960).

Almost surely, 2^2161675600 is an apocalyptic number.

2161675600 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 2161675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155155200).

2161675600 is an abundant number, since it is smaller than the sum of its proper divisors (4148634800).

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

2161675600 is a wasteful number, since it uses less digits than its factorization.

2161675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 2161675600 is about 46493.8232456743. The cubic root of 2161675600 is about 1292.9949841767.

The spelling of 2161675600 in words is "two billion, one hundred sixty-one million, six hundred seventy-five thousand, six hundred".