2776648896 has 420 divisors, whose sum is σ = 10153653048. Its totient is φ = 745500672.

The previous prime is 2776648891. The next prime is 2776648937. The reversal of 2776648896 is 6988466772.

2776648896 is a `hidden beast` number, since 2 + 7 + 7 + 66 + 488 + 96 = 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.

Its product of digits (48771072) is a multiple of the sum of its prime divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2776648891) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4317951 + ... + 4318593.

Almost surely, 2^2776648896 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 2776648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076826524).

2776648896 is an abundant number, since it is smaller than the sum of its proper divisors (7377004152).

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

2776648896 is a wasteful number, since it uses less digits than its factorization.

2776648896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 672 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 2776648896 is about 52693.9170682917. The cubic root of 2776648896 is about 1405.5306558807.

The spelling of 2776648896 in words is "two billion, seven hundred seventy-six million, six hundred forty-eight thousand, eight hundred ninety-six".