2679147198 has 192 divisors, whose sum is σ = 7804408320. Its totient is φ = 664754688.

The previous prime is 2679147187. The next prime is 2679147209. The reversal of 2679147198 is 8917419762.

It is an interprime number because it is at equal distance from previous prime (2679147187) and next prime (2679147209).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1084761 + ... + 1087227.

It is an arithmetic number, because the mean of its divisors is an integer number (40647960).

Almost surely, 2^2679147198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679147198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902204160).

2679147198 is an abundant number, since it is smaller than the sum of its proper divisors (5125261122).

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

2679147198 is a wasteful number, since it uses less digits than its factorization.

2679147198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2509 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 2679147198 is about 51760.4791129294. The cubic root of 2679147198 is about 1388.8825617115.

The spelling of 2679147198 in words is "two billion, six hundred seventy-nine million, one hundred forty-seven thousand, one hundred ninety-eight".