22453905240 has 256 divisors, whose sum is σ = 81391564800. Its totient is φ = 5473101312.

The previous prime is 22453905203. The next prime is 22453905241. The reversal of 22453905240 is 4250935422.

22453905240 is a `hidden beast` number, since 2 + 2 + 45 + 3 + 90 + 524 + 0 = 666.

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 = 22453905195 and 22453905204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22453905241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1438357 + ... + 1453883.

It is an arithmetic number, because the mean of its divisors is an integer number (317935800).

Almost surely, 2^22453905240 is an apocalyptic number.

22453905240 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 22453905240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40695782400).

22453905240 is an abundant number, since it is smaller than the sum of its proper divisors (58937659560).

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

22453905240 is a wasteful number, since it uses less digits than its factorization.

22453905240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15663 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 22453905240 in words is "twenty-two billion, four hundred fifty-three million, nine hundred five thousand, two hundred forty".