2267479688544 has 144 divisors (see below), whose sum is σ = 7379126576640. Its totient is φ = 646988256000.

The previous prime is 2267479688489. The next prime is 2267479688597. The reversal of 2267479688544 is 4458869747622.

2267479688544 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 4 + 79 + 6 + 8 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 765187 + ... + 2262845.

It is an arithmetic number, because the mean of its divisors is an integer number (51243934560).

Almost surely, 2^{2267479688544} is an apocalyptic number.

2267479688544 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 2267479688544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689563288320).

2267479688544 is an abundant number, since it is smaller than the sum of its proper divisors (5111646888096).

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

2267479688544 is a wasteful number, since it uses less digits than its factorization.

2267479688544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498433 (or 1498422 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 2267479688544 in words is "two trillion, two hundred sixty-seven billion, four hundred seventy-nine million, six hundred eighty-eight thousand, five hundred forty-four".