20226810240 has 1024 divisors, whose sum is σ = 92945664000. Its totient is φ = 4037050368.

The previous prime is 20226810229. The next prime is 20226810251. The reversal of 20226810240 is 4201862202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20226810229) and next prime (20226810251).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29876782 + ... + 29877458.

It is an arithmetic number, because the mean of its divisors is an integer number (90767250).

Almost surely, 2^20226810240 is an apocalyptic number.

20226810240 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 20226810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46472832000).

20226810240 is an abundant number, since it is smaller than the sum of its proper divisors (72718853760).

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

20226810240 is a wasteful number, since it uses less digits than its factorization.

20226810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20226810240 in words is "twenty billion, two hundred twenty-six million, eight hundred ten thousand, two hundred forty".