24282988900 has 27 divisors (see below), whose sum is σ = 52697467641. Its totient is φ = 9712572240.

The previous prime is 24282988871. The next prime is 24282988901. The reversal of 24282988900 is 988928242.

The square root of 24282988900 is 155830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8741876004 + 15541112896 = 93498^2 + 124664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24282988901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1550509 + ... + 1566091.

Almost surely, 2^24282988900 is an apocalyptic number.

24282988900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24282988900 is the 155830-th square number.

It is an amenable number.

24282988900 is an abundant number, since it is smaller than the sum of its proper divisors (28414478741).

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

24282988900 is an frugal number, since it uses more digits than its factorization.

24282988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31180 (or 15590 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 24282988900 in words is "twenty-four billion, two hundred eighty-two million, nine hundred eighty-eight thousand, nine hundred".