2258401376 has 144 divisors (see below), whose sum is σ = 5692280832. Its totient is φ = 872121600.

The previous prime is 2258401357. The next prime is 2258401393. The reversal of 2258401376 is 6731048522.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 2189981 + ... + 2191011.

It is an arithmetic number, because the mean of its divisors is an integer number (39529728).

Almost surely, 2^2258401376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846140416).

2258401376 is an abundant number, since it is smaller than the sum of its proper divisors (3433879456).

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

2258401376 is a wasteful number, since it uses less digits than its factorization.

2258401376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 2258401376 is about 47522.6406673703. The cubic root of 2258401376 is about 1311.9996220007. Note that the first 3 decimals are identical.

Adding to 2258401376 its reverse (6731048522), we get a palindrome (8989449898).

The spelling of 2258401376 in words is "two billion, two hundred fifty-eight million, four hundred one thousand, three hundred seventy-six".