2263303710720 has 2304 divisors, whose sum is σ = 9439735818240. Its totient is φ = 515978035200.

The previous prime is 2263303710709. The next prime is 2263303710791. The reversal of 2263303710720 is 270173033622.

2263303710720 is a `hidden beast` number, since 2 + 2 + 633 + 0 + 3 + 7 + 10 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37103339490 + ... + 37103339550.

It is an arithmetic number, because the mean of its divisors is an integer number (4097107560).

Almost surely, 2^{2263303710720} is an apocalyptic number.

2263303710720 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 2263303710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719867909120).

2263303710720 is an abundant number, since it is smaller than the sum of its proper divisors (7176432107520).

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

2263303710720 is a wasteful number, since it uses less digits than its factorization.

2263303710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 2263303710720 in words is "two trillion, two hundred sixty-three billion, three hundred three million, seven hundred ten thousand, seven hundred twenty".