2262618271872 has 576 divisors, whose sum is σ = 7751927327040. Its totient is φ = 644367882240.

The previous prime is 2262618271853. The next prime is 2262618271883. The reversal of 2262618271872 is 2781728162622.

It is a happy number.

2262618271872 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 618 + 2 + 7 + 18 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3274411047 + ... + 3274411737.

It is an arithmetic number, because the mean of its divisors is an integer number (13458207165).

Almost surely, 2^{2262618271872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262618271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875963663520).

2262618271872 is an abundant number, since it is smaller than the sum of its proper divisors (5489309055168).

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

2262618271872 is an frugal number, since it uses more digits than its factorization.

2262618271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1260 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 2262618271872 in words is "two trillion, two hundred sixty-two billion, six hundred eighteen million, two hundred seventy-one thousand, eight hundred seventy-two".