2199038400 has 504 divisors, whose sum is σ = 8925147504. Its totient is φ = 508723200.

The previous prime is 2199038399. The next prime is 2199038407. The reversal of 2199038400 is 48309912.

2199038400 is a `hidden beast` number, since 219 + 9 + 0 + 38 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199038407) 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 71 ways as a sum of consecutive naturals, for example, 3182055 + ... + 3182745.

It is an arithmetic number, because the mean of its divisors is an integer number (17708626).

Almost surely, 2^2199038400 is an apocalyptic number.

2199038400 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 2199038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462573752).

2199038400 is an abundant number, since it is smaller than the sum of its proper divisors (6726109104).

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

2199038400 is a wasteful number, since it uses less digits than its factorization.

2199038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2199038400 is about 46893.9057874262. The cubic root of 2199038400 is about 1300.4019270036.

The spelling of 2199038400 in words is "two billion, one hundred ninety-nine million, thirty-eight thousand, four hundred".