2772666336 has 192 divisors, whose sum is σ = 8439137280. Its totient is φ = 788981760.

The previous prime is 2772666331. The next prime is 2772666343. The reversal of 2772666336 is 6336662772.

It is a super-2 number, since 2×2772666336² = 15375357221575329792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772666331) 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, 1131865 + ... + 1134311.

It is an arithmetic number, because the mean of its divisors is an integer number (43953840).

Almost surely, 2^2772666336 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 2772666336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219568640).

2772666336 is an abundant number, since it is smaller than the sum of its proper divisors (5666470944).

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

2772666336 is a wasteful number, since it uses less digits than its factorization.

2772666336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2529 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The square root of 2772666336 is about 52656.1139470052. The cubic root of 2772666336 is about 1404.8583480330.

The spelling of 2772666336 in words is "two billion, seven hundred seventy-two million, six hundred sixty-six thousand, three hundred thirty-six".