24730981020 has 192 divisors, whose sum is σ = 81094809600. Its totient is φ = 6239773440.

The previous prime is 24730980991. The next prime is 24730981027. The reversal of 24730981020 is 2018903742.

24730981020 is a `hidden beast` number, since 247 + 309 + 8 + 102 + 0 = 666.

It is a super-2 number, since 2×24730981020² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24730981027) 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, 15255810 + ... + 15257430.

It is an arithmetic number, because the mean of its divisors is an integer number (422368800).

Almost surely, 2^24730981020 is an apocalyptic number.

24730981020 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 24730981020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40547404800).

24730981020 is an abundant number, since it is smaller than the sum of its proper divisors (56363828580).

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

24730981020 is a wasteful number, since it uses less digits than its factorization.

24730981020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 247309 and 81020, that added together give a square (328329 = 573²).

The spelling of 24730981020 in words is "twenty-four billion, seven hundred thirty million, nine hundred eighty-one thousand, twenty".