2766578855040 has 3072 divisors, whose sum is σ = 13617485683200. Its totient is φ = 521711124480.

The previous prime is 2766578855011. The next prime is 2766578855041. The reversal of 2766578855040 is 405588756672.

2766578855040 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 5 + 78 + 8 + 550 + 4 + 0 = 666.

It is a super-2 number, since 2×2766578855040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2766578855041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8838909924 + ... + 8838910236.

Almost surely, 2^{2766578855040} is an apocalyptic number.

2766578855040 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 2766578855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808742841600).

2766578855040 is an abundant number, since it is smaller than the sum of its proper divisors (10850906828160).

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

2766578855040 is a wasteful number, since it uses less digits than its factorization.

2766578855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 2766578855040 in words is "two trillion, seven hundred sixty-six billion, five hundred seventy-eight million, eight hundred fifty-five thousand, forty".