2198265720 has 128 divisors (see below), whose sum is σ = 7552880640. Its totient is φ = 501396480.

The previous prime is 2198265677. The next prime is 2198265757. The reversal of 2198265720 is 275628912.

2198265720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 435129 + ... + 440151.

It is an arithmetic number, because the mean of its divisors is an integer number (59006880).

Almost surely, 2^2198265720 is an apocalyptic number.

2198265720 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 2198265720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776440320).

2198265720 is an abundant number, since it is smaller than the sum of its proper divisors (5354614920).

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

2198265720 is a wasteful number, since it uses less digits than its factorization.

2198265720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2198265720 is about 46885.6664664159. Note that the first 3 decimals coincide. The cubic root of 2198265720 is about 1300.2496009885.

The spelling of 2198265720 in words is "two billion, one hundred ninety-eight million, two hundred sixty-five thousand, seven hundred twenty".