2612330034336 has 432 divisors, whose sum is σ = 8655001310592. Its totient is φ = 744264069120.

The previous prime is 2612330034329. The next prime is 2612330034403. The reversal of 2612330034336 is 6334300332162.

2612330034336 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 3 + 300 + 343 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2612330034336.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 786134371 + ... + 786137693.

It is an arithmetic number, because the mean of its divisors is an integer number (20034725256).

Almost surely, 2^{2612330034336} 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 2612330034336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327500655296).

2612330034336 is an abundant number, since it is smaller than the sum of its proper divisors (6042671276256).

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

2612330034336 is a wasteful number, since it uses less digits than its factorization.

2612330034336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 2612330034336 its reverse (6334300332162), we get a palindrome (8946630366498).

The spelling of 2612330034336 in words is "two trillion, six hundred twelve billion, three hundred thirty million, thirty-four thousand, three hundred thirty-six".