2772319892320 has 192 divisors, whose sum is σ = 7524385747200. Its totient is φ = 954637608960.

The previous prime is 2772319892297. The next prime is 2772319892327. The reversal of 2772319892320 is 232989132772.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772319892327) by changing a digit.

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, 81476271 + ... + 81510289.

It is an arithmetic number, because the mean of its divisors is an integer number (39189509100).

Almost surely, 2^{2772319892320} is an apocalyptic number.

2772319892320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772319892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762192873600).

2772319892320 is an abundant number, since it is smaller than the sum of its proper divisors (4752065854880).

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

2772319892320 is a wasteful number, since it uses less digits than its factorization.

2772319892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36501 (or 36493 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 2772319892320 in words is "two trillion, seven hundred seventy-two billion, three hundred nineteen million, eight hundred ninety-two thousand, three hundred twenty".