2265015302304 has 192 divisors, whose sum is σ = 6209498211840. Its totient is φ = 722269716480.

The previous prime is 2265015302293. The next prime is 2265015302309. The reversal of 2265015302304 is 4032035105622.

It is a happy number.

2265015302304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2265015302309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67609782 + ... + 67643274.

It is an arithmetic number, because the mean of its divisors is an integer number (32341136520).

Almost surely, 2^{2265015302304} is an apocalyptic number.

2265015302304 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 2265015302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104749105920).

2265015302304 is an abundant number, since it is smaller than the sum of its proper divisors (3944482909536).

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

2265015302304 is a wasteful number, since it uses less digits than its factorization.

2265015302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33863 (or 33855 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 2265015302304 in words is "two trillion, two hundred sixty-five billion, fifteen million, three hundred two thousand, three hundred four".