2400144030 has 192 divisors, whose sum is σ = 6754176000. Its totient is φ = 589545216.

The previous prime is 2400143989. The next prime is 2400144053. The reversal of 2400144030 is 304410042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2400143994 and 2400144012.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14724729 + ... + 14724891.

It is an arithmetic number, because the mean of its divisors is an integer number (35178000).

Almost surely, 2^2400144030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400144030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377088000).

2400144030 is an abundant number, since it is smaller than the sum of its proper divisors (4354031970).

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

2400144030 is a wasteful number, since it uses less digits than its factorization.

2400144030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2400144030 is about 48991.2648336415. The cubic root of 2400144030 is about 1338.8926825252.

Adding to 2400144030 its reverse (304410042), we get a palindrome (2704554072).

The spelling of 2400144030 in words is "two billion, four hundred million, one hundred forty-four thousand, thirty".