2434848374740 has 144 divisors (see below), whose sum is σ = 5460730506000. Its totient is φ = 911755321344.

The previous prime is 2434848374681. The next prime is 2434848374767. The reversal of 2434848374740 is 474738484342.

It can be written as a sum of positive squares in 8 ways, for example, as 31343869764 + 2403504504976 = 177042^2 + 1550324^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211922916 + ... + 211934404.

It is an arithmetic number, because the mean of its divisors is an integer number (37921739625).

Almost surely, 2^{2434848374740} is an apocalyptic number.

2434848374740 is a gapful number since it is divisible by the number (20) 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 2434848374740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730365253000).

2434848374740 is an abundant number, since it is smaller than the sum of its proper divisors (3025882131260).

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

2434848374740 is a wasteful number, since it uses less digits than its factorization.

2434848374740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882 (or 11861 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 58.

The spelling of 2434848374740 in words is "two trillion, four hundred thirty-four billion, eight hundred forty-eight million, three hundred seventy-four thousand, seven hundred forty".