24880385904 has 240 divisors, whose sum is σ = 76090129920. Its totient is φ = 6974105600.

The previous prime is 24880385903. The next prime is 24880385909. The reversal of 24880385904 is 40958308842.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24880385903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5823289 + ... + 5827559.

It is an arithmetic number, because the mean of its divisors is an integer number (317042208).

Almost surely, 2^24880385904 is an apocalyptic number.

24880385904 is a gapful number since it is divisible by the number (24) 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 24880385904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38045064960).

24880385904 is an abundant number, since it is smaller than the sum of its proper divisors (51209744016).

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

24880385904 is a wasteful number, since it uses less digits than its factorization.

24880385904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

It can be divided in two parts, 2488038 and 5904, that added together give a palindrome (2493942).

The spelling of 24880385904 in words is "twenty-four billion, eight hundred eighty million, three hundred eighty-five thousand, nine hundred four".