2424045120 has 224 divisors, whose sum is σ = 8863388928. Its totient is φ = 549814272.

The previous prime is 2424045119. The next prime is 2424045131. The reversal of 2424045120 is 215404242.

It is a happy number.

2424045120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919324 + ... + 921956.

Almost surely, 2^2424045120 is an apocalyptic number.

2424045120 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 2424045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431694464).

2424045120 is an abundant number, since it is smaller than the sum of its proper divisors (6439343808).

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

2424045120 is a wasteful number, since it uses less digits than its factorization.

2424045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2424045120 is about 49234.5927169099. The cubic root of 2424045120 is about 1343.3223270113.

Adding to 2424045120 its reverse (215404242), we get a palindrome (2639449362).

The spelling of 2424045120 in words is "two billion, four hundred twenty-four million, forty-five thousand, one hundred twenty".