2764106580816 has 480 divisors, whose sum is σ = 9669431116800. Its totient is φ = 752365152000.

The previous prime is 2764106580797. The next prime is 2764106580817. The reversal of 2764106580816 is 6180856014672.

2764106580816 is a `hidden beast` number, since 2 + 7 + 6 + 41 + 0 + 6 + 580 + 8 + 16 = 666.

It is a super-2 number, since 2×2764106580816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764106580817) 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 95 ways as a sum of consecutive naturals, for example, 122191555 + ... + 122214173.

It is an arithmetic number, because the mean of its divisors is an integer number (20144648160).

Almost surely, 2^{2764106580816} 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 2764106580816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834715558400).

2764106580816 is an abundant number, since it is smaller than the sum of its proper divisors (6905324535984).

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

2764106580816 is a wasteful number, since it uses less digits than its factorization.

2764106580816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22924 (or 22905 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2764106580816 in words is "two trillion, seven hundred sixty-four billion, one hundred six million, five hundred eighty thousand, eight hundred sixteen".