2247253380288 has 336 divisors, whose sum is σ = 7640312359680. Its totient is φ = 617902774272.

The previous prime is 2247253380263. The next prime is 2247253380349. The reversal of 2247253380288 is 8820833527422.

2247253380288 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 2 + 533 + 80 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 35865595 + ... + 35928197.

It is an arithmetic number, because the mean of its divisors is an integer number (22739024880).

Almost surely, 2^{2247253380288} is an apocalyptic number.

2247253380288 is a gapful number since it is divisible by the number (28) 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 2247253380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820156179840).

2247253380288 is an abundant number, since it is smaller than the sum of its proper divisors (5393058979392).

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

2247253380288 is a wasteful number, since it uses less digits than its factorization.

2247253380288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62964 (or 62951 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2247253380288 in words is "two trillion, two hundred forty-seven billion, two hundred fifty-three million, three hundred eighty thousand, two hundred eighty-eight".