2258406150 has 384 divisors, whose sum is σ = 7649510400. Its totient is φ = 428313600.

The previous prime is 2258406149. The next prime is 2258406167. The reversal of 2258406150 is 516048522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25375306 + ... + 25375394.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^2258406150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258406150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824755200).

2258406150 is an abundant number, since it is smaller than the sum of its proper divisors (5391104250).

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

2258406150 is a wasteful number, since it uses less digits than its factorization.

2258406150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2258406150 is about 47522.6908960341. The cubic root of 2258406150 is about 1312.0005464720. Note that the first 3 decimals are identical.

The spelling of 2258406150 in words is "two billion, two hundred fifty-eight million, four hundred six thousand, one hundred fifty".