2257760106 has 48 divisors (see below), whose sum is σ = 5919511104. Its totient is φ = 607128192.

The previous prime is 2257760093. The next prime is 2257760119. The reversal of 2257760106 is 6010677522.

2257760106 is a `hidden beast` number, since 22 + 577 + 60 + 1 + 0 + 6 = 666.

2257760106 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 (2257760093) and next prime (2257760119).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524880 + ... + 529163.

It is an arithmetic number, because the mean of its divisors is an integer number (123323148).

Almost surely, 2^2257760106 is an apocalyptic number.

2257760106 is an abundant number, since it is smaller than the sum of its proper divisors (3661750998).

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

2257760106 is a wasteful number, since it uses less digits than its factorization.

2257760106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054075 (or 1054072 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2257760106 is about 47515.8931937515. The cubic root of 2257760106 is about 1311.8754300756.

The spelling of 2257760106 in words is "two billion, two hundred fifty-seven million, seven hundred sixty thousand, one hundred six".