2998786560 has 480 divisors, whose sum is σ = 12068977536. Its totient is φ = 621772800.

The previous prime is 2998786513. The next prime is 2998786573. The reversal of 2998786560 is 656878992.

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 (60).

It is a junction number, because it is equal to n+sod(n) for n = 2998786494 and 2998786503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6504730 + ... + 6505190.

Almost surely, 2^2998786560 is an apocalyptic number.

2998786560 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 2998786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034488768).

2998786560 is an abundant number, since it is smaller than the sum of its proper divisors (9070190976).

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

2998786560 is a wasteful number, since it uses less digits than its factorization.

2998786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The square root of 2998786560 is about 54761.1774891665. The cubic root of 2998786560 is about 1442.0550903819.

The spelling of 2998786560 in words is "two billion, nine hundred ninety-eight million, seven hundred eighty-six thousand, five hundred sixty".