2262857348736 has 288 divisors, whose sum is σ = 6978504955500. Its totient is φ = 703621890048.

The previous prime is 2262857348699. The next prime is 2262857348749. The reversal of 2262857348736 is 6378437582622.

2262857348736 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 85 + 73 + 487 + 3 + 6 = 666.

2262857348736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 818880206400 + 1443977142336 = 904920^2 + 1201656^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37590790 + ... + 37650938.

Almost surely, 2^{2262857348736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262857348736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489252477750).

2262857348736 is an abundant number, since it is smaller than the sum of its proper divisors (4715647606764).

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

2262857348736 is a wasteful number, since it uses less digits than its factorization.

2262857348736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60316 (or 60284 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 2262857348736 in words is "two trillion, two hundred sixty-two billion, eight hundred fifty-seven million, three hundred forty-eight thousand, seven hundred thirty-six".