2779287225 has 192 divisors, whose sum is σ = 5939619840. Its totient is φ = 1125273600.

The previous prime is 2779287169. The next prime is 2779287281. The reversal of 2779287225 is 5227829772.

2779287225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2779287169) and next prime (2779287281).

It is not a de Polignac number, because 2779287225 - 2¹⁰ = 2779286201 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (1975680) is a multiple of the sum of its prime factors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4686529 + ... + 4687121.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2^2779287225 is an apocalyptic number.

2779287225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2779287225 is an abundant number, since it is smaller than the sum of its proper divisors (3160332615).

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

2779287225 is a wasteful number, since it uses less digits than its factorization.

2779287225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 667 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 2779287225 is about 52718.9455983331. The cubic root of 2779287225 is about 1405.9756861480.

The spelling of 2779287225 in words is "two billion, seven hundred seventy-nine million, two hundred eighty-seven thousand, two hundred twenty-five".