2434893705216 has 624 divisors, whose sum is σ = 8348812392960. Its totient is φ = 668984279040.

The previous prime is 2434893705203. The next prime is 2434893705221. The reversal of 2434893705216 is 6125073984342.

2434893705216 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 89 + 37 + 0 + 521 + 6 = 666.

It is a super-2 number, since 2×2434893705216² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 2477002261 + ... + 2477003243.

It is an arithmetic number, because the mean of its divisors is an integer number (13379507040).

It is a 1-persistent number, because it is pandigital, but 2⋅2434893705216 = 4869787410432 is not.

Almost surely, 2^{2434893705216} 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 2434893705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174406196480).

2434893705216 is an abundant number, since it is smaller than the sum of its proper divisors (5913918687744).

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

2434893705216 is a wasteful number, since it uses less digits than its factorization.

2434893705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2434893705216 in words is "two trillion, four hundred thirty-four billion, eight hundred ninety-three million, seven hundred five thousand, two hundred sixteen".