2226407040 has 1024 divisors, whose sum is σ = 9993715200. Its totient is φ = 460062720.

The previous prime is 2226407009. The next prime is 2226407047. The reversal of 2226407040 is 407046222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2226406995 and 2226407013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226407047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42007654 + ... + 42007706.

Almost surely, 2^2226407040 is an apocalyptic number.

2226407040 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 2226407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996857600).

2226407040 is an abundant number, since it is smaller than the sum of its proper divisors (7767308160).

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

2226407040 is a wasteful number, since it uses less digits than its factorization.

2226407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2226407040 is about 47184.8178972856. The cubic root of 2226407040 is about 1305.7745171128.

The spelling of 2226407040 in words is "two billion, two hundred twenty-six million, four hundred seven thousand, forty".