2282812241000 has 64 divisors (see below), whose sum is σ = 5656003076880. Its totient is φ = 859411660800.

The previous prime is 2282812240993. The next prime is 2282812241009. The reversal of 2282812241000 is 1422182822.

It can be written as a sum of positive squares in 8 ways, for example, as 765446510404 + 1517365730596 = 874898^2 + 1231814^2 .

It is a super-2 number, since 2×2282812241000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2282812241009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67124537 + ... + 67158536.

Almost surely, 2^{2282812241000} is an apocalyptic number.

2282812241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282812241000 is an abundant number, since it is smaller than the sum of its proper divisors (3373190835880).

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

2282812241000 is a wasteful number, since it uses less digits than its factorization.

2282812241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134283111 (or 134283097 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 2282812241000 in words is "two trillion, two hundred eighty-two billion, eight hundred twelve million, two hundred forty-one thousand".