2772653148 has 72 divisors (see below), whose sum is σ = 7438773888. Its totient is φ = 867760128.

The previous prime is 2772653123. The next prime is 2772653159. The reversal of 2772653148 is 8413562772.

2772653148 is a `hidden beast` number, since 2 + 7 + 72 + 6 + 531 + 48 = 666.

It is a super-3 number, since 3×2772653148³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259765 + ... + 270227.

It is an arithmetic number, because the mean of its divisors is an integer number (103316304).

Almost surely, 2^2772653148 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 2772653148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719386944).

2772653148 is an abundant number, since it is smaller than the sum of its proper divisors (4666120740).

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

2772653148 is a wasteful number, since it uses less digits than its factorization.

2772653148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10923 (or 10918 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2772653148 is about 52655.9887192331. The cubic root of 2772653148 is about 1404.8561206582.

The spelling of 2772653148 in words is "two billion, seven hundred seventy-two million, six hundred fifty-three thousand, one hundred forty-eight".