2226420240 has 320 divisors, whose sum is σ = 8077197312. Its totient is φ = 501811200.

The previous prime is 2226420227. The next prime is 2226420269. The reversal of 2226420240 is 420246222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2226420240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2246145 + ... + 2247135.

Almost surely, 2^2226420240 is an apocalyptic number.

2226420240 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 2226420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038598656).

2226420240 is an abundant number, since it is smaller than the sum of its proper divisors (5850777072).

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

2226420240 is a wasteful number, since it uses less digits than its factorization.

2226420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2226420240 is about 47184.9577725783. The cubic root of 2226420240 is about 1305.7770976816. Note that the first 3 decimals are identical.

Adding to 2226420240 its reverse (420246222), we get a palindrome (2646666462).

The spelling of 2226420240 in words is "two billion, two hundred twenty-six million, four hundred twenty thousand, two hundred forty".