2257106208 has 144 divisors (see below), whose sum is σ = 6914255040. Its totient is φ = 642829824.

The previous prime is 2257106207. The next prime is 2257106213. The reversal of 2257106208 is 8026017522.

It is not an unprimeable number, because it can be changed into a prime (2257106207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064510 + ... + 2065602.

It is an arithmetic number, because the mean of its divisors is an integer number (48015660).

Almost surely, 2^2257106208 is an apocalyptic number.

2257106208 is a gapful number since it is divisible by the number (28) 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 2257106208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457127520).

2257106208 is an abundant number, since it is smaller than the sum of its proper divisors (4657148832).

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

2257106208 is a wasteful number, since it uses less digits than its factorization.

2257106208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2257106208 is about 47509.0118609091. The cubic root of 2257106208 is about 1311.7487683240.

The spelling of 2257106208 in words is "two billion, two hundred fifty-seven million, one hundred six thousand, two hundred eight".