2442553120 has 96 divisors (see below), whose sum is σ = 6663178368. Its totient is φ = 828776448.

The previous prime is 2442553111. The next prime is 2442553129. The reversal of 2442553120 is 213552442.

It is an interprime number because it is at equal distance from previous prime (2442553111) and next prime (2442553129).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2442553129) 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 15 ways as a sum of consecutive naturals, for example, 97399 + ... + 119881.

It is an arithmetic number, because the mean of its divisors is an integer number (69408108).

Almost surely, 2^2442553120 is an apocalyptic number.

2442553120 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 2442553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331589184).

2442553120 is an abundant number, since it is smaller than the sum of its proper divisors (4220625248).

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

2442553120 is a wasteful number, since it uses less digits than its factorization.

2442553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22602 (or 22594 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2442553120 is about 49422.1925859224. The cubic root of 2442553120 is about 1346.7324946854.

The spelling of 2442553120 in words is "two billion, four hundred forty-two million, five hundred fifty-three thousand, one hundred twenty".