2199974400 has 540 divisors, whose sum is σ = 8600755878. Its totient is φ = 536739840.

The previous prime is 2199974353. The next prime is 2199974401. The reversal of 2199974400 is 44799912.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 444029184 + 1755945216 = 21072^2 + 41904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199974401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19468744 + ... + 19468856.

Almost surely, 2^2199974400 is an apocalyptic number.

2199974400 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 2199974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300377939).

2199974400 is an abundant number, since it is smaller than the sum of its proper divisors (6400781478).

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

2199974400 is a wasteful number, since it uses less digits than its factorization.

2199974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2199974400 is about 46903.8847005235. The cubic root of 2199974400 is about 1300.5864021135.

The spelling of 2199974400 in words is "two billion, one hundred ninety-nine million, nine hundred seventy-four thousand, four hundred".