2774372106336 has 192 divisors, whose sum is σ = 7753838400000. Its totient is φ = 866118500352.

The previous prime is 2774372106329. The next prime is 2774372106353. The reversal of 2774372106336 is 6336012734772.

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 31 ways as a sum of consecutive naturals, for example, 89252845 + ... + 89283923.

It is an arithmetic number, because the mean of its divisors is an integer number (40384575000).

Almost surely, 2^{2774372106336} 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 2774372106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876919200000).

2774372106336 is an abundant number, since it is smaller than the sum of its proper divisors (4979466293664).

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

2774372106336 is a wasteful number, since it uses less digits than its factorization.

2774372106336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31669 (or 31661 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 51.

The spelling of 2774372106336 in words is "two trillion, seven hundred seventy-four billion, three hundred seventy-two million, one hundred six thousand, three hundred thirty-six".