2775565440 has 288 divisors, whose sum is σ = 9967555260. Its totient is φ = 739031040.

The previous prime is 2775565433. The next prime is 2775565451. The reversal of 2775565440 is 445655772.

2775565440 is a `hidden beast` number, since 2 + 7 + 7 + 556 + 54 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2754990144 + 20575296 = 52488^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 4198710 + ... + 4199370.

Almost surely, 2^2775565440 is an apocalyptic number.

2775565440 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 2775565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983777630).

2775565440 is an abundant number, since it is smaller than the sum of its proper divisors (7191989820).

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

2775565440 is an frugal number, since it uses more digits than its factorization.

2775565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The square root of 2775565440 is about 52683.6354098690. The cubic root of 2775565440 is about 1405.3478181276.

The spelling of 2775565440 in words is "two billion, seven hundred seventy-five million, five hundred sixty-five thousand, four hundred forty".