2198617344 has 648 divisors, whose sum is σ = 8689681728. Its totient is φ = 537477120.

The previous prime is 2198617307. The next prime is 2198617387. The reversal of 2198617344 is 4437168912.

2198617344 is a `hidden beast` number, since 21 + 9 + 8 + 617 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×2198617344² = 9667836450675228672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2198617344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129330424 + ... + 129330440.

Almost surely, 2^2198617344 is an apocalyptic number.

2198617344 is a gapful number since it is divisible by the number (24) 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 2198617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344840864).

2198617344 is an abundant number, since it is smaller than the sum of its proper divisors (6491064384).

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

2198617344 is an frugal number, since it uses more digits than its factorization.

2198617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2198617344 is about 46889.4161192054. The cubic root of 2198617344 is about 1300.3189245143.

The spelling of 2198617344 in words is "two billion, one hundred ninety-eight million, six hundred seventeen thousand, three hundred forty-four".