22707414240 has 384 divisors, whose sum is σ = 85990367232. Its totient is φ = 4924508160.

The previous prime is 22707414239. The next prime is 22707414241. The reversal of 22707414240 is 4241470722.

It is an interprime number because it is at equal distance from previous prime (22707414239) and next prime (22707414241).

It is a super-2 number, since 2×22707414240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22707414241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10122559 + ... + 10124801.

It is an arithmetic number, because the mean of its divisors is an integer number (223933248).

Almost surely, 2^22707414240 is an apocalyptic number.

22707414240 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 22707414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42995183616).

22707414240 is an abundant number, since it is smaller than the sum of its proper divisors (63282952992).

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

22707414240 is a wasteful number, since it uses less digits than its factorization.

22707414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

Adding to 22707414240 its reverse (4241470722), we get a palindrome (26948884962).

The spelling of 22707414240 in words is "twenty-two billion, seven hundred seven million, four hundred fourteen thousand, two hundred forty".