2264888871168 has 288 divisors, whose sum is σ = 7757748805632. Its totient is φ = 569305497600.

The previous prime is 2264888871143. The next prime is 2264888871169. The reversal of 2264888871168 is 8611788884622.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2264888871169) 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 31 ways as a sum of consecutive naturals, for example, 1215480 + ... + 2450952.

Almost surely, 2^{2264888871168} is an apocalyptic number.

2264888871168 is a gapful number since it is divisible by the number (28) 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 2264888871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878874402816).

2264888871168 is an abundant number, since it is smaller than the sum of its proper divisors (5492859934464).

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

2264888871168 is a wasteful number, since it uses less digits than its factorization.

2264888871168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235541 (or 1235527 counting only the distinct ones).

The product of its digits is 132120576, while the sum is 69.

The spelling of 2264888871168 in words is "two trillion, two hundred sixty-four billion, eight hundred eighty-eight million, eight hundred seventy-one thousand, one hundred sixty-eight".