2402144020320 has 288 divisors, whose sum is σ = 8541971684064. Its totient is φ = 566598574080.

The previous prime is 2402144020223. The next prime is 2402144020337. The reversal of 2402144020320 is 230204412042.

2402144020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590052 + ... + 2707868.

It is an arithmetic number, because the mean of its divisors is an integer number (29659623903).

Almost surely, 2^{2402144020320} is an apocalyptic number.

2402144020320 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 2402144020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270985842032).

2402144020320 is an abundant number, since it is smaller than the sum of its proper divisors (6139827663744).

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

2402144020320 is a wasteful number, since it uses less digits than its factorization.

2402144020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117894 (or 1117875 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2402144020320 its reverse (230204412042), we get a palindrome (2632348432362).

The spelling of 2402144020320 in words is "two trillion, four hundred two billion, one hundred forty-four million, twenty thousand, three hundred twenty".