2434713036756 has 384 divisors, whose sum is σ = 7746339471360. Its totient is φ = 574705497600.

The previous prime is 2434713036713. The next prime is 2434713036773. The reversal of 2434713036756 is 6576303174342.

It is a junction number, because it is equal to n+sod(n) for n = 2434713036699 and 2434713036708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 348260421 + ... + 348267411.

It is an arithmetic number, because the mean of its divisors is an integer number (20172759040).

Almost surely, 2^{2434713036756} is an apocalyptic number.

2434713036756 is a gapful number since it is divisible by the number (26) 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 2434713036756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873169735680).

2434713036756 is an abundant number, since it is smaller than the sum of its proper divisors (5311626434604).

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

2434713036756 is a wasteful number, since it uses less digits than its factorization.

2434713036756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7475 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 51.

The spelling of 2434713036756 in words is "two trillion, four hundred thirty-four billion, seven hundred thirteen million, thirty-six thousand, seven hundred fifty-six".