2400530250240 has 480 divisors, whose sum is σ = 8412718444416. Its totient is φ = 632544460800.

The previous prime is 2400530250221. The next prime is 2400530250241. The reversal of 2400530250240 is 420520350042.

It is a happy number.

2400530250240 is a `hidden beast` number, since 2 + 40 + 0 + 530 + 2 + 50 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (2400530250241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2064083899 + ... + 2064085061.

Almost surely, 2^{2400530250240} is an apocalyptic number.

2400530250240 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 2400530250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206359222208).

2400530250240 is an abundant number, since it is smaller than the sum of its proper divisors (6012188194176).

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

2400530250240 is a wasteful number, since it uses less digits than its factorization.

2400530250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 2400530250240 in words is "two trillion, four hundred billion, five hundred thirty million, two hundred fifty thousand, two hundred forty".