2264480064 has 672 divisors, whose sum is σ = 8804769792. Its totient is φ = 559872000.

The previous prime is 2264480047. The next prime is 2264480077. The reversal of 2264480064 is 4600844622.

It is a happy number.

2264480064 is a `hidden beast` number, since 2 + 2 + 644 + 8 + 0 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37122594 + ... + 37122654.

It is an arithmetic number, because the mean of its divisors is an integer number (13102336).

Almost surely, 2^2264480064 is an apocalyptic number.

2264480064 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 2264480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402384896).

2264480064 is an abundant number, since it is smaller than the sum of its proper divisors (6540289728).

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

2264480064 is a wasteful number, since it uses less digits than its factorization.

2264480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2264480064 is about 47586.5533948404. The cubic root of 2264480064 is about 1313.1756886602.

The spelling of 2264480064 in words is "two billion, two hundred sixty-four million, four hundred eighty thousand, sixty-four".