2560240120320 has 1600 divisors, whose sum is σ = 10048882187520. Its totient is φ = 621024509952.

The previous prime is 2560240120309. The next prime is 2560240120351. The reversal of 2560240120320 is 230210420652.

It is a happy number.

2560240120320 is a `hidden beast` number, since 2 + 5 + 602 + 4 + 0 + 1 + 20 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14799075754 + ... + 14799075926.

Almost surely, 2^{2560240120320} is an apocalyptic number.

2560240120320 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 2560240120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024441093760).

2560240120320 is an abundant number, since it is smaller than the sum of its proper divisors (7488642067200).

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

2560240120320 is a wasteful number, since it uses less digits than its factorization.

2560240120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2560240120320 its reverse (230210420652), we get a palindrome (2790450540972).

The spelling of 2560240120320 in words is "two trillion, five hundred sixty billion, two hundred forty million, one hundred twenty thousand, three hundred twenty".