2985757824 has 64 divisors (see below), whose sum is σ = 9063915840. Its totient is φ = 853072896.

The previous prime is 2985757799. The next prime is 2985757829. The reversal of 2985757824 is 4287575892.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2985757829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552699 + ... + 558074.

It is an arithmetic number, because the mean of its divisors is an integer number (141623685).

Almost surely, 2^2985757824 is an apocalyptic number.

2985757824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2985757824 is an abundant number, since it is smaller than the sum of its proper divisors (6078158016).

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

2985757824 is a wasteful number, since it uses less digits than its factorization.

2985757824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110797 (or 1110785 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 57.

The square root of 2985757824 is about 54642.0883934719. The cubic root of 2985757824 is about 1439.9636410573.

The spelling of 2985757824 in words is "two billion, nine hundred eighty-five million, seven hundred fifty-seven thousand, eight hundred twenty-four".