2864765208144 has 320 divisors, whose sum is σ = 8728342937600. Its totient is φ = 792872810496.

The previous prime is 2864765208121. The next prime is 2864765208157. The reversal of 2864765208144 is 4418025674682.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 298004682 + ... + 298014294.

It is an arithmetic number, because the mean of its divisors is an integer number (27276071680).

Almost surely, 2^{2864765208144} is an apocalyptic number.

2864765208144 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 2864765208144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364171468800).

2864765208144 is an abundant number, since it is smaller than the sum of its proper divisors (5863577729456).

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

2864765208144 is a wasteful number, since it uses less digits than its factorization.

2864765208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 2864765208144 in words is "two trillion, eight hundred sixty-four billion, seven hundred sixty-five million, two hundred eight thousand, one hundred forty-four".