2226420000 has 960 divisors, whose sum is σ = 10076774400. Its totient is φ = 466560000.

The previous prime is 2226419999. The next prime is 2226420037. The reversal of 2226420000 is 246222.

2226420000 = 277³ + 278³ + ... + 348³.

It is a happy number.

2226420000 is a `hidden beast` number, since 2 + 22 + 642 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71819985 + ... + 71820015.

It is an arithmetic number, because the mean of its divisors is an integer number (10496640).

Almost surely, 2^2226420000 is an apocalyptic number.

2226420000 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 2226420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038387200).

2226420000 is an abundant number, since it is smaller than the sum of its proper divisors (7850354400).

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

2226420000 is a wasteful number, since it uses less digits than its factorization.

2226420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2226420000 is about 47184.9552293949. The cubic root of 2226420000 is about 1305.7770507622. Note that the first 3 decimals are identical.

Adding to 2226420000 its reverse (246222), we get a palindrome (2226666222).

The spelling of 2226420000 in words is "two billion, two hundred twenty-six million, four hundred twenty thousand".