2274177906 has 432 divisors, whose sum is σ = 7224927840. Its totient is φ = 509483520.

The previous prime is 2274177889. The next prime is 2274177959. The reversal of 2274177906 is 6097714722.

2274177906 is a `hidden beast` number, since 227 + 417 + 7 + 9 + 0 + 6 = 666.

2274177906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 31153086 + ... + 31153158.

It is an arithmetic number, because the mean of its divisors is an integer number (16724370).

Almost surely, 2^2274177906 is an apocalyptic number.

2274177906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274177906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612463920).

2274177906 is an abundant number, since it is smaller than the sum of its proper divisors (4950749934).

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

2274177906 is a wasteful number, since it uses less digits than its factorization.

2274177906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 2274177906 is about 47688.3414054211. The cubic root of 2274177906 is about 1315.0476171030.

The spelling of 2274177906 in words is "two billion, two hundred seventy-four million, one hundred seventy-seven thousand, nine hundred six".