2199801600 has 324 divisors, whose sum is σ = 7945718872. Its totient is φ = 580608000.

The previous prime is 2199801557. The next prime is 2199801631. The reversal of 2199801600 is 61089912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10425495 + ... + 10425705.

Almost surely, 2^2199801600 is an apocalyptic number.

2199801600 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 2199801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972859436).

2199801600 is an abundant number, since it is smaller than the sum of its proper divisors (5745917272).

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

2199801600 is a wasteful number, since it uses less digits than its factorization.

2199801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 2199801600 is about 46902.0425994434. The cubic root of 2199801600 is about 1300.5523491089.

The spelling of 2199801600 in words is "two billion, one hundred ninety-nine million, eight hundred one thousand, six hundred".