2251441440 has 96 divisors (see below), whose sum is σ = 7880060160. Its totient is φ = 600383232.

The previous prime is 2251441417. The next prime is 2251441471. The reversal of 2251441440 is 441441522.

2251441440 is a `hidden beast` number, since 2 + 2 + 514 + 4 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256264 + ... + 264903.

It is an arithmetic number, because the mean of its divisors is an integer number (82083960).

Almost surely, 2^2251441440 is an apocalyptic number.

2251441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251441440 is an abundant number, since it is smaller than the sum of its proper divisors (5628618720).

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

2251441440 is a wasteful number, since it uses less digits than its factorization.

2251441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521191 (or 521177 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2251441440 is about 47449.3565815175. The cubic root of 2251441440 is about 1310.6504626644.

Adding to 2251441440 its reverse (441441522), we get a palindrome (2692882962).

The spelling of 2251441440 in words is "two billion, two hundred fifty-one million, four hundred forty-one thousand, four hundred forty".