2251436544 has 240 divisors, whose sum is σ = 7483187712. Its totient is φ = 638337024.

The previous prime is 2251436543. The next prime is 2251436557. The reversal of 2251436544 is 4456341522.

2251436544 is a `hidden beast` number, since 2 + 251 + 4 + 365 + 44 = 666.

It is a super-3 number, since 3×2251436544³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2251436499 and 2251436508.

It is not an unprimeable number, because it can be changed into a prime (2251436543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7192932 + ... + 7193244.

Almost surely, 2^2251436544 is an apocalyptic number.

2251436544 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 2251436544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741593856).

2251436544 is an abundant number, since it is smaller than the sum of its proper divisors (5231751168).

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

2251436544 is a wasteful number, since it uses less digits than its factorization.

2251436544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 548 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2251436544 is about 47449.3049896413. The cubic root of 2251436544 is about 1310.6495126139.

The spelling of 2251436544 in words is "two billion, two hundred fifty-one million, four hundred thirty-six thousand, five hundred forty-four".