2034248442624 has 432 divisors, whose sum is σ = 6291637381120. Its totient is φ = 655755678720.

The previous prime is 2034248442619. The next prime is 2034248442697. The reversal of 2034248442624 is 4262448424302.

2034248442624 is a `hidden beast` number, since 2 + 0 + 342 + 4 + 8 + 44 + 262 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 2034248442624.

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, 1405837869 + ... + 1405839315.

Almost surely, 2^{2034248442624} is an apocalyptic number.

2034248442624 is a gapful number since it is divisible by the number (24) 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 2034248442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145818690560).

2034248442624 is an abundant number, since it is smaller than the sum of its proper divisors (4257388938496).

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

2034248442624 is an frugal number, since it uses more digits than its factorization.

2034248442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 45.

The spelling of 2034248442624 in words is "two trillion, thirty-four billion, two hundred forty-eight million, four hundred forty-two thousand, six hundred twenty-four".