2199141600 has 144 divisors (see below), whose sum is σ = 7333124400. Its totient is φ = 572108800.

The previous prime is 2199141589. The next prime is 2199141613. The reversal of 2199141600 is 61419912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87226 + ... + 109574.

It is an arithmetic number, because the mean of its divisors is an integer number (50924475).

Almost surely, 2^2199141600 is an apocalyptic number.

2199141600 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 2199141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666562200).

2199141600 is an abundant number, since it is smaller than the sum of its proper divisors (5133982800).

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

2199141600 is a wasteful number, since it uses less digits than its factorization.

2199141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22413 (or 22400 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 2199141600 is about 46895.0061307172. The cubic root of 2199141600 is about 1300.4222691343.

The spelling of 2199141600 in words is "two billion, one hundred ninety-nine million, one hundred forty-one thousand, six hundred".