2198263872 has 252 divisors, whose sum is σ = 6984766320. Its totient is φ = 608348160.

The previous prime is 2198263853. The next prime is 2198263883. The reversal of 2198263872 is 2783628912.

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

Its product of digits (580608) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15814779 + ... + 15814917.

Almost surely, 2^2198263872 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 2198263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492383160).

2198263872 is an abundant number, since it is smaller than the sum of its proper divisors (4786502448).

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

2198263872 is a wasteful number, since it uses less digits than its factorization.

2198263872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 192 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 2198263872 is about 46885.6467588963. The cubic root of 2198263872 is about 1300.2492366313.

The spelling of 2198263872 in words is "two billion, one hundred ninety-eight million, two hundred sixty-three thousand, eight hundred seventy-two".