24940948320 has 432 divisors, whose sum is σ = 89589492720. Its totient is φ = 6316738560.

The previous prime is 24940948309. The next prime is 24940948321. The reversal of 24940948320 is 2384904942.

It is a happy number.

24940948320 is a `hidden beast` number, since 249 + 40 + 9 + 48 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24940948321) 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 71 ways as a sum of consecutive naturals, for example, 92717146 + ... + 92717414.

It is an arithmetic number, because the mean of its divisors is an integer number (207383085).

Almost surely, 2^24940948320 is an apocalyptic number.

24940948320 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 24940948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44794746360).

24940948320 is an abundant number, since it is smaller than the sum of its proper divisors (64648544400).

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

24940948320 is a wasteful number, since it uses less digits than its factorization.

24940948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 24940948320 in words is "twenty-four billion, nine hundred forty million, nine hundred forty-eight thousand, three hundred twenty".