2400020310000 has 200 divisors, whose sum is σ = 7997510777344. Its totient is φ = 619359840000.

The previous prime is 2400020309987. The next prime is 2400020310007. The reversal of 2400020310000 is 130200042.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2400020310000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400020310007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360334 + ... + 2220333.

Almost surely, 2^{2400020310000} is an apocalyptic number.

2400020310000 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 2400020310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998755388672).

2400020310000 is an abundant number, since it is smaller than the sum of its proper divisors (5597490467344).

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

2400020310000 is a wasteful number, since it uses less digits than its factorization.

2400020310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580729 (or 2580708 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2400020310000 its reverse (130200042), we get a palindrome (2400150510042).

The spelling of 2400020310000 in words is "two trillion, four hundred billion, twenty million, three hundred ten thousand".