2985370560 has 448 divisors, whose sum is σ = 11183477760. Its totient is φ = 748154880.

The previous prime is 2985370541. The next prime is 2985370571. The reversal of 2985370560 is 650735892.

It is a happy number.

2985370560 is a `hidden beast` number, since 2 + 9 + 85 + 3 + 7 + 0 + 560 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16493670 + ... + 16493850.

It is an arithmetic number, because the mean of its divisors is an integer number (24963120).

Almost surely, 2^2985370560 is an apocalyptic number.

2985370560 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 2985370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

2985370560 is an abundant number, since it is smaller than the sum of its proper divisors (8198107200).

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

2985370560 is a wasteful number, since it uses less digits than its factorization.

2985370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2985370560 is about 54638.5446365476. The cubic root of 2985370560 is about 1439.9013821352.

The spelling of 2985370560 in words is "two billion, nine hundred eighty-five million, three hundred seventy thousand, five hundred sixty".