2240222114432 has 64 divisors (see below), whose sum is σ = 4503281607360. Its totient is φ = 1109990461440.

The previous prime is 2240222114419. The next prime is 2240222114503. The reversal of 2240222114432 is 2344112220422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2240222114395 and 2240222114404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101858957 + ... + 101880947.

It is an arithmetic number, because the mean of its divisors is an integer number (70363775115).

Almost surely, 2^{2240222114432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240222114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251640803680).

2240222114432 is an abundant number, since it is smaller than the sum of its proper divisors (2263059492928).

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

2240222114432 is a wasteful number, since it uses less digits than its factorization.

2240222114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29161 (or 29149 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2240222114432 its reverse (2344112220422), we get a palindrome (4584334334854).

The spelling of 2240222114432 in words is "two trillion, two hundred forty billion, two hundred twenty-two million, one hundred fourteen thousand, four hundred thirty-two".