2777664960 has 504 divisors, whose sum is σ = 11541282480. Its totient is φ = 634894848.

The previous prime is 2777664949. The next prime is 2777664983. The reversal of 2777664960 is 694667772.

It is a happy number.

2777664960 is a `hidden beast` number, since 27 + 77 + 66 + 496 + 0 = 666.

2777664960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2777664897 and 2777664906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 396809277 + ... + 396809283.

It is an arithmetic number, because the mean of its divisors is an integer number (22899370).

Almost surely, 2^2777664960 is an apocalyptic number.

2777664960 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 2777664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770641240).

2777664960 is an abundant number, since it is smaller than the sum of its proper divisors (8763617520).

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

2777664960 is an frugal number, since it uses more digits than its factorization.

2777664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 2777664960 is about 52703.5573751905. The cubic root of 2777664960 is about 1405.7020777388.

The spelling of 2777664960 in words is "two billion, seven hundred seventy-seven million, six hundred sixty-four thousand, nine hundred sixty".