2868009984 has 528 divisors, whose sum is σ = 10361095200. Its totient is φ = 780337152.

The previous prime is 2868009953. The next prime is 2868010009. The reversal of 2868009984 is 4899008682.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2868009984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39287772 + ... + 39287844.

Almost surely, 2^2868009984 is an apocalyptic number.

2868009984 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 2868009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180547600).

2868009984 is an abundant number, since it is smaller than the sum of its proper divisors (7493085216).

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

2868009984 is a wasteful number, since it uses less digits than its factorization.

2868009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2868009984 is about 53553.8045707305. The cubic root of 2868009984 is about 1420.7801677290.

The spelling of 2868009984 in words is "two billion, eight hundred sixty-eight million, nine thousand, nine hundred eighty-four".