2226430402560 has 896 divisors, whose sum is σ = 9742857384960. Its totient is φ = 469731115008.

The previous prime is 2226430402549. The next prime is 2226430402561. The reversal of 2226430402560 is 652040346222.

2226430402560 is a `hidden beast` number, since 2 + 2 + 2 + 64 + 30 + 4 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226430402561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100627659 + ... + 100649781.

It is an arithmetic number, because the mean of its divisors is an integer number (10873724760).

Almost surely, 2^{2226430402560} is an apocalyptic number.

2226430402560 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 2226430402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871428692480).

2226430402560 is an abundant number, since it is smaller than the sum of its proper divisors (7516426982400).

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

2226430402560 is a wasteful number, since it uses less digits than its factorization.

2226430402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22183 (or 22153 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2226430402560 its reverse (652040346222), we get a palindrome (2878470748782).

The spelling of 2226430402560 in words is "two trillion, two hundred twenty-six billion, four hundred thirty million, four hundred two thousand, five hundred sixty".