2998166400 has 480 divisors, whose sum is σ = 11363279400. Its totient is φ = 778014720.

The previous prime is 2998166399. The next prime is 2998166419. The reversal of 2998166400 is 46618992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11145466 + ... + 11145734.

Almost surely, 2^2998166400 is an apocalyptic number.

2998166400 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 2998166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681639700).

2998166400 is an abundant number, since it is smaller than the sum of its proper divisors (8365113000).

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

2998166400 is a wasteful number, since it uses less digits than its factorization.

2998166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2998166400 is about 54755.5147907496. The cubic root of 2998166400 is about 1441.9556761108.

The spelling of 2998166400 in words is "two billion, nine hundred ninety-eight million, one hundred sixty-six thousand, four hundred".