2251000404 has 72 divisors (see below), whose sum is σ = 5778864000. Its totient is φ = 738676224.

The previous prime is 2251000361. The next prime is 2251000441. The reversal of 2251000404 is 4040001522.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1190692 + ... + 1192580.

It is an arithmetic number, because the mean of its divisors is an integer number (80262000).

Almost surely, 2^2251000404 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 2251000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432000).

2251000404 is an abundant number, since it is smaller than the sum of its proper divisors (3527863596).

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

2251000404 is a wasteful number, since it uses less digits than its factorization.

2251000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2251000404 is about 47444.7089146935. The cubic root of 2251000404 is about 1310.5648757487.

Adding to 2251000404 its reverse (4040001522), we get a palindrome (6291001926).

The spelling of 2251000404 in words is "two billion, two hundred fifty-one million, four hundred four", and thus it is an aban number.