2505041350320 has 320 divisors, whose sum is σ = 8096131564416. Its totient is φ = 640257884160.

The previous prime is 2505041350309. The next prime is 2505041350321. The reversal of 2505041350320 is 230531405052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2505041350321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130754182 + ... + 130773338.

Almost surely, 2^{2505041350320} is an apocalyptic number.

2505041350320 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 2505041350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048065782208).

2505041350320 is an abundant number, since it is smaller than the sum of its proper divisors (5591090214096).

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

2505041350320 is a wasteful number, since it uses less digits than its factorization.

2505041350320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19448 (or 19442 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 2505041350320 its reverse (230531405052), we get a palindrome (2735572755372).

The spelling of 2505041350320 in words is "two trillion, five hundred five billion, forty-one million, three hundred fifty thousand, three hundred twenty".