2634341616 has 240 divisors, whose sum is σ = 8091982080. Its totient is φ = 827988480.

The previous prime is 2634341609. The next prime is 2634341623. The reversal of 2634341616 is 6161434362.

2634341616 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 34 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (2634341609) and next prime (2634341623).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7958571 + ... + 7958901.

It is an arithmetic number, because the mean of its divisors is an integer number (33716592).

Almost surely, 2^2634341616 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 2634341616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045991040).

2634341616 is an abundant number, since it is smaller than the sum of its proper divisors (5457640464).

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

2634341616 is a wasteful number, since it uses less digits than its factorization.

2634341616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2634341616 is about 51325.8377038310. The cubic root of 2634341616 is about 1381.0965198014.

Adding to 2634341616 its reverse (6161434362), we get a palindrome (8795775978).

The spelling of 2634341616 in words is "two billion, six hundred thirty-four million, three hundred forty-one thousand, six hundred sixteen".