2838160262784 has 1152 divisors, whose sum is σ = 10419655449600. Its totient is φ = 674956800000.

The previous prime is 2838160262759. The next prime is 2838160262789. The reversal of 2838160262784 is 4872620618382.

It is a super-2 number, since 2×2838160262784² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2838160262789) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3779174409 + ... + 3779175159.

It is an arithmetic number, because the mean of its divisors is an integer number (9044839800).

Almost surely, 2^{2838160262784} is an apocalyptic number.

2838160262784 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 2838160262784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209827724800).

2838160262784 is an abundant number, since it is smaller than the sum of its proper divisors (7581495186816).

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

2838160262784 is a wasteful number, since it uses less digits than its factorization.

2838160262784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 2838160262784 in words is "two trillion, eight hundred thirty-eight billion, one hundred sixty million, two hundred sixty-two thousand, seven hundred eighty-four".