2774996268192 has 216 divisors, whose sum is σ = 8375176686240. Its totient is φ = 871413154560.

The previous prime is 2774996268071. The next prime is 2774996268197. The reversal of 2774996268192 is 2918626994772.

2774996268192 is a `hidden beast` number, since 2 + 7 + 7 + 499 + 62 + 68 + 19 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2774996268192.

It is not an unprimeable number, because it can be changed into a prime (2774996268197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18535717 + ... + 18684827.

It is an arithmetic number, because the mean of its divisors is an integer number (38773966140).

Almost surely, 2^{2774996268192} 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 2774996268192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187588343120).

2774996268192 is an abundant number, since it is smaller than the sum of its proper divisors (5600180418048).

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

2774996268192 is a wasteful number, since it uses less digits than its factorization.

2774996268192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149344 (or 149314 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 2774996268192 in words is "two trillion, seven hundred seventy-four billion, nine hundred ninety-six million, two hundred sixty-eight thousand, one hundred ninety-two".