22642057000 has 64 divisors (see below), whose sum is σ = 53075589840. Its totient is φ = 9040896000.

The previous prime is 22642056989. The next prime is 22642057007. The reversal of 22642057000 is 75024622.

It can be written as a sum of positive squares in 8 ways, for example, as 3343846276 + 19298210724 = 57826^2 + 138918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22642057000.

It is not an unprimeable number, because it can be changed into a prime (22642057007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557380 + ... + 596620.

Almost surely, 2^22642057000 is an apocalyptic number.

22642057000 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 22642057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26537794920).

22642057000 is an abundant number, since it is smaller than the sum of its proper divisors (30433532840).

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

22642057000 is a wasteful number, since it uses less digits than its factorization.

22642057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39839 (or 39825 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 22642057000 in words is "twenty-two billion, six hundred forty-two million, fifty-seven thousand".