2251477760 has 144 divisors (see below), whose sum is σ = 6269356800. Its totient is φ = 758673408.

The previous prime is 2251477757. The next prime is 2251477769. The reversal of 2251477760 is 677741522.

It is not an unprimeable number, because it can be changed into a prime (2251477769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526511 + ... + 530769.

It is an arithmetic number, because the mean of its divisors is an integer number (43537200).

Almost surely, 2^2251477760 is an apocalyptic number.

2251477760 is a gapful number since it is divisible by the number (20) 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 2251477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134678400).

2251477760 is an abundant number, since it is smaller than the sum of its proper divisors (4017879040).

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

2251477760 is an equidigital number, since it uses as much as digits as its factorization.

2251477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The square root of 2251477760 is about 47449.7393038149. The cubic root of 2251477760 is about 1310.6575103818.

The spelling of 2251477760 in words is "two billion, two hundred fifty-one million, four hundred seventy-seven thousand, seven hundred sixty".