2984749560 has 576 divisors, whose sum is σ = 11510553600. Its totient is φ = 693868032.

The previous prime is 2984749519. The next prime is 2984749627. The reversal of 2984749560 is 659474892.

2984749560 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 74 + 9 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2984749497 and 2984749506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37781601 + ... + 37781679.

It is an arithmetic number, because the mean of its divisors is an integer number (19983600).

Almost surely, 2^2984749560 is an apocalyptic number.

2984749560 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 2984749560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755276800).

2984749560 is an abundant number, since it is smaller than the sum of its proper divisors (8525804040).

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

2984749560 is a wasteful number, since it uses less digits than its factorization.

2984749560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2984749560 is about 54632.8615395533. The cubic root of 2984749560 is about 1439.8015351483.

The spelling of 2984749560 in words is "two billion, nine hundred eighty-four million, seven hundred forty-nine thousand, five hundred sixty".