2264647680 has 192 divisors, whose sum is σ = 8051097600. Its totient is φ = 603832320.

The previous prime is 2264647667. The next prime is 2264647687. The reversal of 2264647680 is 867464622.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2264647680² = 10257258229058764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2264647687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272385 + ... + 280575.

It is an arithmetic number, because the mean of its divisors is an integer number (41932800).

Almost surely, 2^2264647680 is an apocalyptic number.

2264647680 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 2264647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025548800).

2264647680 is an abundant number, since it is smaller than the sum of its proper divisors (5786449920).

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

2264647680 is an equidigital number, since it uses as much as digits as its factorization.

2264647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2264647680 is about 47588.3145320361. The cubic root of 2264647680 is about 1313.2080881249.

The spelling of 2264647680 in words is "two billion, two hundred sixty-four million, six hundred forty-seven thousand, six hundred eighty".