2777764320 has 384 divisors, whose sum is σ = 10079354880. Its totient is φ = 714147840.

The previous prime is 2777764229. The next prime is 2777764361. The reversal of 2777764320 is 234677772.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21872097 + ... + 21872223.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^2777764320 is an apocalyptic number.

2777764320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 52704×52705.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2777764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039677440).

2777764320 is an abundant number, since it is smaller than the sum of its proper divisors (7301590560).

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

2777764320 is a wasteful number, since it uses less digits than its factorization.

2777764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The square root of 2777764320 is about 52704.4999976283. The cubic root of 2777764320 is about 1405.7188386867.

The spelling of 2777764320 in words is "two billion, seven hundred seventy-seven million, seven hundred sixty-four thousand, three hundred twenty".