2267663136384 has 128 divisors (see below), whose sum is σ = 6286668163200. Its totient is φ = 722873778176.

The previous prime is 2267663136371. The next prime is 2267663136493. The reversal of 2267663136384 is 4836313667622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2267663136384² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47607172 + ... + 47654780.

It is an arithmetic number, because the mean of its divisors is an integer number (49114595025).

Almost surely, 2^{2267663136384} is an apocalyptic number.

2267663136384 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 2267663136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143334081600).

2267663136384 is an abundant number, since it is smaller than the sum of its proper divisors (4019005026816).

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

2267663136384 is a wasteful number, since it uses less digits than its factorization.

2267663136384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53042 (or 53030 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 57.

The spelling of 2267663136384 in words is "two trillion, two hundred sixty-seven billion, six hundred sixty-three million, one hundred thirty-six thousand, three hundred eighty-four".