2560024401220 has 288 divisors, whose sum is σ = 7078127172480. Its totient is φ = 766191329280.

The previous prime is 2560024401217. The next prime is 2560024401247. The reversal of 2560024401220 is 221044200652.

It is a super-3 number, since 3×2560024401220³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11902554 + ... + 12115726.

It is an arithmetic number, because the mean of its divisors is an integer number (24576830460).

Almost surely, 2^{2560024401220} is an apocalyptic number.

2560024401220 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 2560024401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539063586240).

2560024401220 is an abundant number, since it is smaller than the sum of its proper divisors (4518102771260).

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

2560024401220 is a wasteful number, since it uses less digits than its factorization.

2560024401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213255 (or 213240 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2560024401220 its reverse (221044200652), we get a palindrome (2781068601872).

The spelling of 2560024401220 in words is "two trillion, five hundred sixty billion, twenty-four million, four hundred one thousand, two hundred twenty".