2251231504000 has 128 divisors (see below), whose sum is σ = 5660016944400. Its totient is φ = 890374144000.

The previous prime is 2251231503907. The next prime is 2251231504001. The reversal of 2251231504000 is 4051321522.

It can be written as a sum of positive squares in 8 ways, for example, as 105147141696 + 2146084362304 = 324264^2 + 1464952^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2251231504000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2251231504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633540 + ... + 2214460.

Almost surely, 2^{2251231504000} is an apocalyptic number.

2251231504000 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 2251231504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830008472200).

2251231504000 is an abundant number, since it is smaller than the sum of its proper divisors (3408785440400).

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

2251231504000 is an equidigital number, since it uses as much as digits as its factorization.

2251231504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581039 (or 1581017 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 2251231504000 its reverse (4051321522), we get a palindrome (2255282825522).

The spelling of 2251231504000 in words is "two trillion, two hundred fifty-one billion, two hundred thirty-one million, five hundred four thousand".