2778777225 has 192 divisors, whose sum is σ = 6140559360. Its totient is φ = 1205280000.

The previous prime is 2778777203. The next prime is 2778777271. The reversal of 2778777225 is 5227778772.

2778777225 is a `hidden beast` number, since 277 + 87 + 77 + 225 = 666.

It is not a de Polignac number, because 2778777225 - 2⁶ = 2778777161 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8934820 + ... + 8935130.

It is an arithmetic number, because the mean of its divisors is an integer number (31982080).

Almost surely, 2^2778777225 is an apocalyptic number.

2778777225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2778777225 is an abundant number, since it is smaller than the sum of its proper divisors (3361782135).

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

2778777225 is a wasteful number, since it uses less digits than its factorization.

2778777225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its digits is 5378240, while the sum is 54.

The square root of 2778777225 is about 52714.1084056251. The cubic root of 2778777225 is about 1405.8896819072.

The spelling of 2778777225 in words is "two billion, seven hundred seventy-eight million, seven hundred seventy-seven thousand, two hundred twenty-five".