2213271325440 has 864 divisors, whose sum is σ = 9053760643200. Its totient is φ = 498895552512.

The previous prime is 2213271325429. The next prime is 2213271325459. The reversal of 2213271325440 is 445231723122.

2213271325440 is a `hidden beast` number, since 2 + 2 + 1 + 327 + 1 + 325 + 4 + 4 + 0 = 666.

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 = 2213271325395 and 2213271325404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288445444 + ... + 288453116.

Almost surely, 2^{2213271325440} is an apocalyptic number.

2213271325440 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 2213271325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526880321600).

2213271325440 is an abundant number, since it is smaller than the sum of its proper divisors (6840489317760).

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

2213271325440 is an equidigital number, since it uses as much as digits as its factorization.

2213271325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2213271325440 in words is "two trillion, two hundred thirteen billion, two hundred seventy-one million, three hundred twenty-five thousand, four hundred forty".