2198873952 has 504 divisors, whose sum is σ = 7692927480. Its totient is φ = 615859200.

The previous prime is 2198873947. The next prime is 2198873969. The reversal of 2198873952 is 2593788912.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 53631052 + ... + 53631092.

It is an arithmetic number, because the mean of its divisors is an integer number (15263745).

Almost surely, 2^2198873952 is an apocalyptic number.

2198873952 is a gapful number since it is divisible by the number (22) 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 2198873952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846463740).

2198873952 is an abundant number, since it is smaller than the sum of its proper divisors (5494053528).

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

2198873952 is a wasteful number, since it uses less digits than its factorization.

2198873952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 2198873952 is about 46892.1523498335. The cubic root of 2198873952 is about 1300.3695107398.

The spelling of 2198873952 in words is "two billion, one hundred ninety-eight million, eight hundred seventy-three thousand, nine hundred fifty-two".