2984005868544 has 440 divisors, whose sum is σ = 9221026377728. Its totient is φ = 960202874880.

The previous prime is 2984005868537. The next prime is 2984005868567. The reversal of 2984005868544 is 4458685004892.

2984005868544 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 0 + 0 + 5 + 86 + 8 + 544 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1252204377 + ... + 1252206759.

Almost surely, 2^{2984005868544} is an apocalyptic number.

2984005868544 is a gapful number since it is divisible by the number (24) 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 2984005868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610513188864).

2984005868544 is an abundant number, since it is smaller than the sum of its proper divisors (6237020509184).

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

2984005868544 is a wasteful number, since it uses less digits than its factorization.

2984005868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 2984005868544 in words is "two trillion, nine hundred eighty-four billion, five million, eight hundred sixty-eight thousand, five hundred forty-four".