2665854342144 has 1584 divisors, whose sum is σ = 9841270652928. Its totient is φ = 690988548096.

The previous prime is 2665854342131. The next prime is 2665854342197. The reversal of 2665854342144 is 4412434585662.

2665854342144 is a `hidden beast` number, since 2 + 6 + 6 + 58 + 543 + 4 + 2 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20990979009 + ... + 20990979135.

It is an arithmetic number, because the mean of its divisors is an integer number (6212923392).

Almost surely, 2^{2665854342144} is an apocalyptic number.

2665854342144 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 2665854342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920635326464).

2665854342144 is an abundant number, since it is smaller than the sum of its proper divisors (7175416310784).

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

2665854342144 is a wasteful number, since it uses less digits than its factorization.

2665854342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 252 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 2665854342144 in words is "two trillion, six hundred sixty-five billion, eight hundred fifty-four million, three hundred forty-two thousand, one hundred forty-four".