2217434011540 has 96 divisors (see below), whose sum is σ = 5118431472000. Its totient is φ = 800239173120.

The previous prime is 2217434011537. The next prime is 2217434011577. The reversal of 2217434011540 is 451104347122.

It is a junction number, because it is equal to n+sod(n) for n = 2217434011496 and 2217434011505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38881366 + ... + 38938354.

It is an arithmetic number, because the mean of its divisors is an integer number (53316994500).

Almost surely, 2^{2217434011540} is an apocalyptic number.

2217434011540 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 2217434011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559215736000).

2217434011540 is an abundant number, since it is smaller than the sum of its proper divisors (2900997460460).

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

2217434011540 is a wasteful number, since it uses less digits than its factorization.

2217434011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58345 (or 58343 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

Adding to 2217434011540 its reverse (451104347122), we get a palindrome (2668538358662).

The spelling of 2217434011540 in words is "two trillion, two hundred seventeen billion, four hundred thirty-four million, eleven thousand, five hundred forty".