2198625660 has 768 divisors, whose sum is σ = 9444556800. Its totient is φ = 413994240.

The previous prime is 2198625601. The next prime is 2198625661. The reversal of 2198625660 is 665268912.

2198625660 is a `hidden beast` number, since 2 + 1 + 9 + 86 + 2 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198625661) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95592409 + ... + 95592431.

It is an arithmetic number, because the mean of its divisors is an integer number (12297600).

Almost surely, 2^2198625660 is an apocalyptic number.

2198625660 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 2198625660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722278400).

2198625660 is an abundant number, since it is smaller than the sum of its proper divisors (7245931140).

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

2198625660 is a wasteful number, since it uses less digits than its factorization.

2198625660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2198625660 is about 46889.5047958496. The cubic root of 2198625660 is about 1300.3205639444.

It can be divided in two parts, 219862 and 5660, that added together give a palindrome (225522).

The spelling of 2198625660 in words is "two billion, one hundred ninety-eight million, six hundred twenty-five thousand, six hundred sixty".