2766631456 has 48 divisors (see below), whose sum is σ = 5759728128. Its totient is φ = 1306022400.

The previous prime is 2766631433. The next prime is 2766631463. The reversal of 2766631456 is 6541366672.

It is a super-3 number, since 3×2766631456³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6661 + ... + 74683.

It is an arithmetic number, because the mean of its divisors is an integer number (119994336).

Almost surely, 2^2766631456 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 2766631456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879864064).

2766631456 is an abundant number, since it is smaller than the sum of its proper divisors (2993096672).

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

2766631456 is a wasteful number, since it uses less digits than its factorization.

2766631456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68105 (or 68097 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The square root of 2766631456 is about 52598.7780846666. The cubic root of 2766631456 is about 1403.8383539140.

The spelling of 2766631456 in words is "two billion, seven hundred sixty-six million, six hundred thirty-one thousand, four hundred fifty-six".