24354656340 has 96 divisors (see below), whose sum is σ = 78120585984. Its totient is φ = 5553515520.

The previous prime is 24354656327. The next prime is 24354656341. The reversal of 24354656340 is 4365645342.

It is a happy number.

It is a super-3 number, since 3×24354656340³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 24354656292 and 24354656301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24354656341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107952 + ... + 245688.

It is an arithmetic number, because the mean of its divisors is an integer number (813756104).

Almost surely, 2^24354656340 is an apocalyptic number.

24354656340 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 24354656340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060292992).

24354656340 is an abundant number, since it is smaller than the sum of its proper divisors (53765929644).

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

24354656340 is a wasteful number, since it uses less digits than its factorization.

24354656340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138177 (or 138175 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 24354656340 in words is "twenty-four billion, three hundred fifty-four million, six hundred fifty-six thousand, three hundred forty".