24754138920 has 256 divisors, whose sum is σ = 95710924800. Its totient is φ = 5573525760.

The previous prime is 24754138883. The next prime is 24754138921. The reversal of 24754138920 is 2983145742.

24754138920 is a `hidden beast` number, since 2 + 4 + 7 + 541 + 3 + 89 + 20 = 666.

It is a super-2 number, since 2×24754138920² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (24754138921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482085 + ... + 530955.

It is an arithmetic number, because the mean of its divisors is an integer number (373870800).

Almost surely, 2^24754138920 is an apocalyptic number.

24754138920 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 24754138920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47855462400).

24754138920 is an abundant number, since it is smaller than the sum of its proper divisors (70956785880).

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

24754138920 is a wasteful number, since it uses less digits than its factorization.

24754138920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48965 (or 48955 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 24754138920 in words is "twenty-four billion, seven hundred fifty-four million, one hundred thirty-eight thousand, nine hundred twenty".