2998114560 has 720 divisors, whose sum is σ = 13034964096. Its totient is φ = 644972544.

The previous prime is 2998114529. The next prime is 2998114591. The reversal of 2998114560 is 654118992.

2998114560 is a `hidden beast` number, since 2 + 9 + 9 + 81 + 1 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2998114529) and next prime (2998114591).

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 176359672 + ... + 176359688.

Almost surely, 2^2998114560 is an apocalyptic number.

2998114560 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 2998114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517482048).

2998114560 is an abundant number, since it is smaller than the sum of its proper divisors (10036849536).

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

2998114560 is an frugal number, since it uses more digits than its factorization.

2998114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2998114560 is about 54755.0414117276. The cubic root of 2998114560 is about 1441.9473653187.

The spelling of 2998114560 in words is "two billion, nine hundred ninety-eight million, one hundred fourteen thousand, five hundred sixty".