22624440006240 has 288 divisors, whose sum is σ = 79550886935520. Its totient is φ = 5850999816192.

The previous prime is 22624440006229. The next prime is 22624440006257. The reversal of 22624440006240 is 4260004442622.

22624440006240 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 4 + 4 + 400 + 0 + 6 + 240 = 666.

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

It is a super-2 number, since 2×22624440006240² (a number of 28 digits) contains 22 as substring.

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 = 22624440006195 and 22624440006204.

It is a congruent number.

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, 15665376 + ... + 17048544.

It is an arithmetic number, because the mean of its divisors is an integer number (276218357415).

Almost surely, 2^{22624440006240} is an apocalyptic number.

22624440006240 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 22624440006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39775443467760).

22624440006240 is an abundant number, since it is smaller than the sum of its proper divisors (56926446929280).

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

22624440006240 is a wasteful number, since it uses less digits than its factorization.

22624440006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383534 (or 1383523 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 22624440006240 its reverse (4260004442622), we get a palindrome (26884444448862).

The spelling of 22624440006240 in words is "twenty-two trillion, six hundred twenty-four billion, four hundred forty million, six thousand, two hundred forty".