2251906866 has 128 divisors (see below), whose sum is σ = 5842483200. Its totient is φ = 635688000.

The previous prime is 2251906859. The next prime is 2251906871. The reversal of 2251906866 is 6686091522.

2251906866 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686811 + ... + 690081.

It is an arithmetic number, because the mean of its divisors is an integer number (45644400).

Almost surely, 2^2251906866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251906866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921241600).

2251906866 is an abundant number, since it is smaller than the sum of its proper divisors (3590576334).

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

2251906866 is a wasteful number, since it uses less digits than its factorization.

2251906866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2251906866 is about 47454.2607781430. The cubic root of 2251906866 is about 1310.7407705536.

It can be divided in two parts, 225 and 1906866, that added together give a palindrome (1907091).

The spelling of 2251906866 in words is "two billion, two hundred fifty-one million, nine hundred six thousand, eight hundred sixty-six".