2824981664 has 48 divisors (see below), whose sum is σ = 6025840128. Its totient is φ = 1298476032.

The previous prime is 2824981639. The next prime is 2824981699. The reversal of 2824981664 is 4661894282.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36992 + ... + 83775.

It is an arithmetic number, because the mean of its divisors is an integer number (125538336).

Almost surely, 2^2824981664 is an apocalyptic number.

It is an amenable number.

2824981664 is an abundant number, since it is smaller than the sum of its proper divisors (3200858464).

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

2824981664 is a wasteful number, since it uses less digits than its factorization.

2824981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120837 (or 120829 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 2824981664 is about 53150.5565728149. The cubic root of 2824981664 is about 1413.6390855851.

The spelling of 2824981664 in words is "two billion, eight hundred twenty-four million, nine hundred eighty-one thousand, six hundred sixty-four".