2199755328 has 224 divisors, whose sum is σ = 6386169600. Its totient is φ = 666107904.

The previous prime is 2199755317. The next prime is 2199755359. The reversal of 2199755328 is 8235579912.

It is a super-3 number, since 3×2199755328³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11397600 + ... + 11397792.

Almost surely, 2^2199755328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193084800).

2199755328 is an abundant number, since it is smaller than the sum of its proper divisors (4186414272).

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

2199755328 is a wasteful number, since it uses less digits than its factorization.

2199755328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 2199755328 is about 46901.5493134289. The cubic root of 2199755328 is about 1300.5432301683.

The spelling of 2199755328 in words is "two billion, one hundred ninety-nine million, seven hundred fifty-five thousand, three hundred twenty-eight".