22952730240 has 384 divisors, whose sum is σ = 89673030720. Its totient is φ = 5563883520.

The previous prime is 22952730209. The next prime is 22952730289. The reversal of 22952730240 is 4203725922.

22952730240 is a `hidden beast` number, since 2 + 295 + 27 + 302 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 22952730195 and 22952730204.

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, 1704012 + ... + 1717428.

Almost surely, 2^22952730240 is an apocalyptic number.

22952730240 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 22952730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44836515360).

22952730240 is an abundant number, since it is smaller than the sum of its proper divisors (66720300480).

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

22952730240 is a wasteful number, since it uses less digits than its factorization.

22952730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22952730240 in words is "twenty-two billion, nine hundred fifty-two million, seven hundred thirty thousand, two hundred forty".