2400001120 has 144 divisors (see below), whose sum is σ = 6352622640. Its totient is φ = 855895040.

The previous prime is 2400001099. The next prime is 2400001157. The reversal of 2400001120 is 211000042.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2400001097 and 2400001106.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1024911 + ... + 1027249.

It is an arithmetic number, because the mean of its divisors is an integer number (44115435).

Almost surely, 2^2400001120 is an apocalyptic number.

2400001120 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 2400001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176311320).

2400001120 is an abundant number, since it is smaller than the sum of its proper divisors (3952621520).

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

2400001120 is a wasteful number, since it uses less digits than its factorization.

2400001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2400001120 is about 48989.8062866144. The cubic root of 2400001120 is about 1338.8661084323.

Adding to 2400001120 its reverse (211000042), we get a palindrome (2611001162).

The spelling of 2400001120 in words is "two billion, four hundred million, one thousand, one hundred twenty".