2267426304 has 640 divisors, whose sum is σ = 8359464960. Its totient is φ = 597196800.

The previous prime is 2267426299. The next prime is 2267426327. The reversal of 2267426304 is 4036247622.

2267426304 is a `hidden beast` number, since 226 + 7 + 426 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×2267426304² = 10282444088142200832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 61281774 + ... + 61281810.

It is an arithmetic number, because the mean of its divisors is an integer number (13061664).

Almost surely, 2^2267426304 is an apocalyptic number.

2267426304 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 2267426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179732480).

2267426304 is an abundant number, since it is smaller than the sum of its proper divisors (6092038656).

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

2267426304 is a wasteful number, since it uses less digits than its factorization.

2267426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2267426304 is about 47617.4999763742. The cubic root of 2267426304 is about 1313.7449516449.

The spelling of 2267426304 in words is "two billion, two hundred sixty-seven million, four hundred twenty-six thousand, three hundred four".