2766896496 has 400 divisors, whose sum is σ = 10208721600. Its totient is φ = 703696896.

The previous prime is 2766896491. The next prime is 2766896563. The reversal of 2766896496 is 6946986672.

2766896496 is a `hidden beast` number, since 2 + 7 + 66 + 89 + 6 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766896491) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3419740 + ... + 3420548.

It is an arithmetic number, because the mean of its divisors is an integer number (25521804).

Almost surely, 2^2766896496 is an apocalyptic number.

2766896496 is a gapful number since it is divisible by the number (26) 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 2766896496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104360800).

2766896496 is an abundant number, since it is smaller than the sum of its proper divisors (7441825104).

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

2766896496 is a wasteful number, since it uses less digits than its factorization.

2766896496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 2766896496 is about 52601.2974744920. The cubic root of 2766896496 is about 1403.8831811636.

The spelling of 2766896496 in words is "two billion, seven hundred sixty-six million, eight hundred ninety-six thousand, four hundred ninety-six".