2775545136 has 240 divisors, whose sum is σ = 9861035520. Its totient is φ = 731877120.

The previous prime is 2775545131. The next prime is 2775545141. The reversal of 2775545136 is 6315455772.

It is a happy number.

2775545136 is a `hidden beast` number, since 2 + 7 + 75 + 545 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (2775545131) and next prime (2775545141).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2775545091 and 2775545100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775545131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508341 + ... + 513771.

It is an arithmetic number, because the mean of its divisors is an integer number (41087648).

Almost surely, 2^2775545136 is an apocalyptic number.

2775545136 is a gapful number since it is divisible by the number (26) 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 2775545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930517760).

2775545136 is an abundant number, since it is smaller than the sum of its proper divisors (7085490384).

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

2775545136 is a wasteful number, since it uses less digits than its factorization.

2775545136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5456 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 2775545136 is about 52683.4427121083. The cubic root of 2775545136 is about 1405.3443912881.

The spelling of 2775545136 in words is "two billion, seven hundred seventy-five million, five hundred forty-five thousand, one hundred thirty-six".