20222497440 has 288 divisors, whose sum is σ = 70412509440. Its totient is φ = 5283919872.

The previous prime is 20222497429. The next prime is 20222497489. The reversal of 20222497440 is 4479422202.

20222497440 is a `hidden beast` number, since 202 + 2 + 2 + 4 + 9 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20222497395 and 20222497404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23058282 + ... + 23059158.

It is an arithmetic number, because the mean of its divisors is an integer number (244487880).

Almost surely, 2^20222497440 is an apocalyptic number.

20222497440 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 20222497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206254720).

20222497440 is an abundant number, since it is smaller than the sum of its proper divisors (50190012000).

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

20222497440 is a wasteful number, since it uses less digits than its factorization.

20222497440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20222497440 in words is "twenty billion, two hundred twenty-two million, four hundred ninety-seven thousand, four hundred forty".