2662045046784 has 672 divisors, whose sum is σ = 8327201500800. Its totient is φ = 849452728320.

The previous prime is 2662045046783. The next prime is 2662045046827. The reversal of 2662045046784 is 4876405402662.

It is a happy number.

2662045046784 is a `hidden beast` number, since 2 + 6 + 62 + 0 + 4 + 504 + 6 + 78 + 4 = 666.

2662045046784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2662045046784² (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 self number, because there is not a number n which added to its sum of digits gives 2662045046784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662045046783) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5229950722 + ... + 5229951230.

It is an arithmetic number, because the mean of its divisors is an integer number (12391668900).

Almost surely, 2^{2662045046784} is an apocalyptic number.

2662045046784 is a gapful number since it is divisible by the number (24) 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 2662045046784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163600750400).

2662045046784 is an abundant number, since it is smaller than the sum of its proper divisors (5665156454016).

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

2662045046784 is an equidigital number, since it uses as much as digits as its factorization.

2662045046784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2662045046784 in words is "two trillion, six hundred sixty-two billion, forty-five million, forty-six thousand, seven hundred eighty-four".