2427061243072 has 56 divisors (see below), whose sum is σ = 5104415983680. Its totient is φ = 1141046661120.

The previous prime is 2427061243039. The next prime is 2427061243073. The reversal of 2427061243072 is 2703421607242.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2427061243073) 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 7 ways as a sum of consecutive naturals, for example, 56922 + ... + 2203942.

Almost surely, 2^{2427061243072} 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 2427061243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552207991840).

2427061243072 is an abundant number, since it is smaller than the sum of its proper divisors (2677354740608).

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

2427061243072 is a wasteful number, since it uses less digits than its factorization.

2427061243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148089 (or 2148079 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 2427061243072 in words is "two trillion, four hundred twenty-seven billion, sixty-one million, two hundred forty-three thousand, seventy-two".