24733980 has 144 divisors (see below), whose sum is σ = 81375840. Its totient is φ = 6057984.

The previous prime is 24733957. The next prime is 24733981. The reversal of 24733980 is 8933742.

24733980 is a `hidden beast` number, since 247 + 339 + 80 = 666.

It is a super-2 number, since 2×24733980² = 1223539533280800, which 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 (24733981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180472 + ... + 180608.

It is an arithmetic number, because the mean of its divisors is an integer number (565110).

Almost surely, 2^24733980 is an apocalyptic number.

24733980 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 24733980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40687920).

24733980 is an abundant number, since it is smaller than the sum of its proper divisors (56641860).

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

24733980 is a wasteful number, since it uses less digits than its factorization.

24733980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 24733980 is about 4973.3268543300. The cubic root of 24733980 is about 291.3609436915.

The spelling of 24733980 in words is "twenty-four million, seven hundred thirty-three thousand, nine hundred eighty".