2868242517504 has 960 divisors, whose sum is σ = 10597287444480. Its totient is φ = 749959741440.

The previous prime is 2868242517473. The next prime is 2868242517529. The reversal of 2868242517504 is 4057152428682.

2868242517504 is a `hidden beast` number, since 2 + 8 + 6 + 82 + 4 + 2 + 51 + 7 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2076930894 + ... + 2076932274.

It is an arithmetic number, because the mean of its divisors is an integer number (11038841088).

Almost surely, 2^{2868242517504} is an apocalyptic number.

2868242517504 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 2868242517504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298643722240).

2868242517504 is an abundant number, since it is smaller than the sum of its proper divisors (7729044926976).

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

2868242517504 is a wasteful number, since it uses less digits than its factorization.

2868242517504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 2868242517504 in words is "two trillion, eight hundred sixty-eight billion, two hundred forty-two million, five hundred seventeen thousand, five hundred four".