2777681664 has 324 divisors, whose sum is σ = 8728423704. Its totient is φ = 848719872.

The previous prime is 2777681657. The next prime is 2777681677. The reversal of 2777681664 is 4661867772.

It is a self number, because there is not a number n which added to its sum of digits gives 2777681664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52409062 + ... + 52409114.

Almost surely, 2^2777681664 is an apocalyptic number.

2777681664 is a gapful number since it is divisible by the number (24) 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 2777681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364211852).

2777681664 is an abundant number, since it is smaller than the sum of its proper divisors (5950742040).

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

2777681664 is a wasteful number, since it uses less digits than its factorization.

2777681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 2777681664 is about 52703.7158462285. The cubic root of 2777681664 is about 1405.7048955493.

The spelling of 2777681664 in words is "two billion, seven hundred seventy-seven million, six hundred eighty-one thousand, six hundred sixty-four".