2226400040 has 32 divisors (see below), whose sum is σ = 5131584360. Its totient is φ = 868838400.

The previous prime is 2226400013. The next prime is 2226400061. The reversal of 2226400040 is 400046222.

It can be written as a sum of positive squares in 4 ways, for example, as 1525527364 + 700872676 = 39058^2 + 26474^2 .

It is a super-2 number, since 2×2226400040² = 9913714276224003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2226399985 and 2226400021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677141 + ... + 680420.

Almost surely, 2^2226400040 is an apocalyptic number.

2226400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226400040 is an abundant number, since it is smaller than the sum of its proper divisors (2905184320).

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

2226400040 is a wasteful number, since it uses less digits than its factorization.

2226400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357613 (or 1357609 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2226400040 is about 47184.7437208257. The cubic root of 2226400040 is about 1305.7731486252.

Adding to 2226400040 its reverse (400046222), we get a palindrome (2626446262).

The spelling of 2226400040 in words is "two billion, two hundred twenty-six million, four hundred thousand, forty".