2775641136 has 160 divisors (see below), whose sum is σ = 7862443200. Its totient is φ = 840204288.

The previous prime is 2775641053. The next prime is 2775641137. The reversal of 2775641136 is 6311465772.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2775641137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4498300 + ... + 4498916.

It is an arithmetic number, because the mean of its divisors is an integer number (49140270).

Almost surely, 2^2775641136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2775641136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931221600).

2775641136 is an abundant number, since it is smaller than the sum of its proper divisors (5086802064).

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

2775641136 is a wasteful number, since it uses less digits than its factorization.

2775641136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 2775641136 is about 52684.3538064196. The cubic root of 2775641136 is about 1405.3605936916.

It can be divided in two parts, 2775 and 641136, that multiplied together give a square (1779152400 = 42180²).

The spelling of 2775641136 in words is "two billion, seven hundred seventy-five million, six hundred forty-one thousand, one hundred thirty-six".