24772020 has 144 divisors (see below), whose sum is σ = 86083200. Its totient is φ = 5211648.

The previous prime is 24772001. The next prime is 24772021. The reversal of 24772020 is 2027742.

It is a super-2 number, since 2×24772020² = 1227305949760800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24772021) 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 47 ways as a sum of consecutive naturals, for example, 70806 + ... + 71154.

It is an arithmetic number, because the mean of its divisors is an integer number (597800).

Almost surely, 2^24772020 is an apocalyptic number.

24772020 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 24772020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43041600).

24772020 is an abundant number, since it is smaller than the sum of its proper divisors (61311180).

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

24772020 is a wasteful number, since it uses less digits than its factorization.

24772020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 24772020 is about 4977.1497867756. The cubic root of 24772020 is about 291.5102348449.

Adding to 24772020 its reverse (2027742), we get a palindrome (26799762).

The spelling of 24772020 in words is "twenty-four million, seven hundred seventy-two thousand, twenty".