2724446241234 has 128 divisors (see below), whose sum is σ = 6480432552960. Its totient is φ = 845448710400.

The previous prime is 2724446241203. The next prime is 2724446241239. The reversal of 2724446241234 is 4321426444272.

2724446241234 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 4 + 4 + 624 + 12 + 3 + 4 = 666.

It is a super-5 number, since 5×2724446241234⁵ (a number of 63 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2724446241234.

It is not an unprimeable number, because it can be changed into a prime (2724446241239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31529629 + ... + 31615919.

It is an arithmetic number, because the mean of its divisors is an integer number (50628379320).

Almost surely, 2^{2724446241234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724446241234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240216276480).

2724446241234 is an abundant number, since it is smaller than the sum of its proper divisors (3755986311726).

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

2724446241234 is a wasteful number, since it uses less digits than its factorization.

2724446241234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86693 (or 86687 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 45.

The spelling of 2724446241234 in words is "two trillion, seven hundred twenty-four billion, four hundred forty-six million, two hundred forty-one thousand, two hundred thirty-four".