2199198432 has 96 divisors (see below), whose sum is σ = 5912815104. Its totient is φ = 715392000.

The previous prime is 2199198431. The next prime is 2199198437. The reversal of 2199198432 is 2348919912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2199198432² = 9672947486622517248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199198431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2711307 + ... + 2712117.

It is an arithmetic number, because the mean of its divisors is an integer number (61591824).

Almost surely, 2^2199198432 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 2199198432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956407552).

2199198432 is an abundant number, since it is smaller than the sum of its proper divisors (3713616672).

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

2199198432 is a wasteful number, since it uses less digits than its factorization.

2199198432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1464 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 2199198432 is about 46895.6120761847. The cubic root of 2199198432 is about 1300.4334712266.

The spelling of 2199198432 in words is "two billion, one hundred ninety-nine million, one hundred ninety-eight thousand, four hundred thirty-two".