2267854848 has 504 divisors, whose sum is σ = 8163923040. Its totient is φ = 627056640.

The previous prime is 2267854837. The next prime is 2267854861. The reversal of 2267854848 is 8484587622.

2267854848 is a `hidden beast` number, since 2 + 26 + 78 + 548 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2267854848² = 10286331223194206208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2267854794 and 2267854803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 73156593 + ... + 73156623.

It is an arithmetic number, because the mean of its divisors is an integer number (16198260).

Almost surely, 2^2267854848 is an apocalyptic number.

2267854848 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 2267854848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081961520).

2267854848 is an abundant number, since it is smaller than the sum of its proper divisors (5896068192).

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

2267854848 is an frugal number, since it uses more digits than its factorization.

2267854848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 43 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 2267854848 is about 47621.9996220234. Note that the first 3 decimals coincide. The cubic root of 2267854848 is about 1313.8277124459.

The spelling of 2267854848 in words is "two billion, two hundred sixty-seven million, eight hundred fifty-four thousand, eight hundred forty-eight".