2251473408 has 150 divisors (see below), whose sum is σ = 6749020509. Its totient is φ = 747270144.

The previous prime is 2251473401. The next prime is 2251473409. The reversal of 2251473408 is 8043741522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2031485184 + 219988224 = 45072^2 + 14832^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33552.

It is a super-2 number, since 2×2251473408² = 10138265013862268928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2251473401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9662860 + ... + 9663092.

Almost surely, 2^2251473408 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 2251473408

2251473408 is an abundant number, since it is smaller than the sum of its proper divisors (4497547101).

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

2251473408 is an frugal number, since it uses more digits than its factorization.

2251473408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2251473408 is about 47449.6934447421. The cubic root of 2251473408 is about 1310.6566659016.

The spelling of 2251473408 in words is "two billion, two hundred fifty-one million, four hundred seventy-three thousand, four hundred eight".