2766363477040 has 160 divisors (see below), whose sum is σ = 6643593711360. Its totient is φ = 1070721856512.

The previous prime is 2766363477029. The next prime is 2766363477061. The reversal of 2766363477040 is 407743636672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544878982 + ... + 544884058.

It is an arithmetic number, because the mean of its divisors is an integer number (41522460696).

Almost surely, 2^{2766363477040} is an apocalyptic number.

2766363477040 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 2766363477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321796855680).

2766363477040 is an abundant number, since it is smaller than the sum of its proper divisors (3877230234320).

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

2766363477040 is a wasteful number, since it uses less digits than its factorization.

2766363477040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 55.

The spelling of 2766363477040 in words is "two trillion, seven hundred sixty-six billion, three hundred sixty-three million, four hundred seventy-seven thousand, forty".