2772727333920 has 192 divisors, whose sum is σ = 9722295354240. Its totient is φ = 738041601024.

The previous prime is 2772727333897. The next prime is 2772727333949. The reversal of 2772727333920 is 293337272772.

It is a happy number.

2772727333920 is a `hidden beast` number, since 277 + 272 + 73 + 3 + 39 + 2 + 0 = 666.

It is a super-2 number, since 2×2772727333920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1776354 + ... + 2949726.

It is an arithmetic number, because the mean of its divisors is an integer number (50636954970).

Almost surely, 2^{2772727333920} is an apocalyptic number.

2772727333920 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 2772727333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861147677120).

2772727333920 is an abundant number, since it is smaller than the sum of its proper divisors (6949568020320).

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

2772727333920 is a wasteful number, since it uses less digits than its factorization.

2772727333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173944 (or 1173930 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 54.

The spelling of 2772727333920 in words is "two trillion, seven hundred seventy-two billion, seven hundred twenty-seven million, three hundred thirty-three thousand, nine hundred twenty".