22029054240 has 384 divisors, whose sum is σ = 76709928960. Its totient is φ = 5288951808.

The previous prime is 22029054227. The next prime is 22029054253. The reversal of 22029054240 is 4245092022.

It is an interprime number because it is at equal distance from previous prime (22029054227) and next prime (22029054253).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22029054198 and 22029054207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30052914 + ... + 30053646.

It is an arithmetic number, because the mean of its divisors is an integer number (199765440).

Almost surely, 2^22029054240 is an apocalyptic number.

22029054240 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 22029054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38354964480).

22029054240 is an abundant number, since it is smaller than the sum of its proper divisors (54680874720).

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

22029054240 is a wasteful number, since it uses less digits than its factorization.

22029054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 22029054240 in words is "twenty-two billion, twenty-nine million, fifty-four thousand, two hundred forty".