2220435360 has 576 divisors, whose sum is σ = 9153720576. Its totient is φ = 482918400.

The previous prime is 2220435359. The next prime is 2220435367. The reversal of 2220435360 is 635340222.

2220435360 is a `hidden beast` number, since 2 + 220 + 435 + 3 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2220435367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8442589 + ... + 8442851.

It is an arithmetic number, because the mean of its divisors is an integer number (15891876).

Almost surely, 2^2220435360 is an apocalyptic number.

2220435360 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 2220435360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576860288).

2220435360 is an abundant number, since it is smaller than the sum of its proper divisors (6933285216).

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

2220435360 is a wasteful number, since it uses less digits than its factorization.

2220435360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2220435360 is about 47121.4957317783. The cubic root of 2220435360 is about 1304.6060201454.

Adding to 2220435360 its reverse (635340222), we get a palindrome (2855775582).

It can be divided in two parts, 2220 and 435360, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 2220435360 in words is "two billion, two hundred twenty million, four hundred thirty-five thousand, three hundred sixty".