2301222413440 has 128 divisors (see below), whose sum is σ = 5826238139520. Its totient is φ = 866153840640.

The previous prime is 2301222413393. The next prime is 2301222413443. The reversal of 2301222413440 is 443142221032.

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

It is a super-2 number, since 2×2301222413440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2301222413399 and 2301222413408.

It is not an unprimeable number, because it can be changed into a prime (2301222413443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56240029 + ... + 56280931.

It is an arithmetic number, because the mean of its divisors is an integer number (45517485465).

Almost surely, 2^{2301222413440} is an apocalyptic number.

2301222413440 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 2301222413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913119069760).

2301222413440 is an abundant number, since it is smaller than the sum of its proper divisors (3525015726080).

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

2301222413440 is a wasteful number, since it uses less digits than its factorization.

2301222413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46110 (or 46098 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2301222413440 its reverse (443142221032), we get a palindrome (2744364634472).

The spelling of 2301222413440 in words is "two trillion, three hundred one billion, two hundred twenty-two million, four hundred thirteen thousand, four hundred forty".