2251520404224 has 288 divisors, whose sum is σ = 7695837778944. Its totient is φ = 567989452800.

The previous prime is 2251520404213. The next prime is 2251520404321. The reversal of 2251520404224 is 4224040251522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907074 + ... + 2307774.

Almost surely, 2^{2251520404224} is an apocalyptic number.

2251520404224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251520404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847918889472).

2251520404224 is an abundant number, since it is smaller than the sum of its proper divisors (5444317374720).

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

2251520404224 is a wasteful number, since it uses less digits than its factorization.

2251520404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400763 (or 1400749 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 2251520404224 its reverse (4224040251522), we get a palindrome (6475560655746).

The spelling of 2251520404224 in words is "two trillion, two hundred fifty-one billion, five hundred twenty million, four hundred four thousand, two hundred twenty-four".