2198479360 has 320 divisors, whose sum is σ = 6929556480. Its totient is φ = 648069120.

The previous prime is 2198479351. The next prime is 2198479441. The reversal of 2198479360 is 639748912.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2198479360² = 9666622992692019200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3744987 + ... + 3745573.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^2198479360 is an apocalyptic number.

2198479360 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 2198479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464778240).

2198479360 is an abundant number, since it is smaller than the sum of its proper divisors (4731077120).

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

2198479360 is a wasteful number, since it uses less digits than its factorization.

2198479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 2198479360 is about 46887.9447192986. The cubic root of 2198479360 is about 1300.2917215147.

The spelling of 2198479360 in words is "two billion, one hundred ninety-eight million, four hundred seventy-nine thousand, three hundred sixty".