2259821012480 has 320 divisors, whose sum is σ = 5569515528192. Its totient is φ = 879179857920.

The previous prime is 2259821012453. The next prime is 2259821012489. The reversal of 2259821012480 is 842101289522.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2259821012480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259821012489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4131299567 + ... + 4131300113.

Almost surely, 2^{2259821012480} is an apocalyptic number.

2259821012480 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 2259821012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784757764096).

2259821012480 is an abundant number, since it is smaller than the sum of its proper divisors (3309694515712).

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

2259821012480 is a wasteful number, since it uses less digits than its factorization.

2259821012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 2259821012480 in words is "two trillion, two hundred fifty-nine billion, eight hundred twenty-one million, twelve thousand, four hundred eighty".