2267464320 has 512 divisors, whose sum is σ = 8930304000. Its totient is φ = 539136000.

The previous prime is 2267464289. The next prime is 2267464333. The reversal of 2267464320 is 234647622.

2267464320 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 4 + 643 + 2 + 0 = 666.

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

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, 15016245 + ... + 15016395.

It is an arithmetic number, because the mean of its divisors is an integer number (17442000).

Almost surely, 2^2267464320 is an apocalyptic number.

2267464320 is a gapful number since it is divisible by the number (20) 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 2267464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465152000).

2267464320 is an abundant number, since it is smaller than the sum of its proper divisors (6662839680).

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

2267464320 is a wasteful number, since it uses less digits than its factorization.

2267464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

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

The square root of 2267464320 is about 47617.8991556746. The cubic root of 2267464320 is about 1313.7522937503.

The spelling of 2267464320 in words is "two billion, two hundred sixty-seven million, four hundred sixty-four thousand, three hundred twenty".