2264481120 has 288 divisors, whose sum is σ = 7928008704. Its totient is φ = 542868480.

The previous prime is 2264481091. The next prime is 2264481133. The reversal of 2264481120 is 211844622.

2264481120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7376007 + ... + 7376313.

It is an arithmetic number, because the mean of its divisors is an integer number (27527808).

Almost surely, 2^2264481120 is an apocalyptic number.

2264481120 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 2264481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964004352).

2264481120 is an abundant number, since it is smaller than the sum of its proper divisors (5663527584).

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

2264481120 is a wasteful number, since it uses less digits than its factorization.

2264481120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2264481120 is about 47586.5644904105. The cubic root of 2264481120 is about 1313.1758927855.

It can be divided in two parts, 2264 and 481120, that added together give a palindrome (483384).

The spelling of 2264481120 in words is "two billion, two hundred sixty-four million, four hundred eighty-one thousand, one hundred twenty".