2220435456 has 192 divisors, whose sum is σ = 6510067200. Its totient is φ = 669892608.

The previous prime is 2220435407. The next prime is 2220435461. The reversal of 2220435456 is 6545340222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2220435456² = 9860667228523855872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2684515 + ... + 2685341.

It is an arithmetic number, because the mean of its divisors is an integer number (33906600).

Almost surely, 2^2220435456 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 2220435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255033600).

2220435456 is an abundant number, since it is smaller than the sum of its proper divisors (4289631744).

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

2220435456 is a wasteful number, since it uses less digits than its factorization.

2220435456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 2220435456 is about 47121.4967504217. The cubic root of 2220435456 is about 1304.6060389468.

Adding to 2220435456 its reverse (6545340222), we get a palindrome (8765775678).

The spelling of 2220435456 in words is "two billion, two hundred twenty million, four hundred thirty-five thousand, four hundred fifty-six".