2505061440 has 336 divisors, whose sum is σ = 9930091392. Its totient is φ = 567779328.

The previous prime is 2505061421. The next prime is 2505061511. The reversal of 2505061440 is 441605052.

2505061440 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 0 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 2761467 + ... + 2762373.

Almost surely, 2^2505061440 is an apocalyptic number.

2505061440 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 2505061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965045696).

2505061440 is an abundant number, since it is smaller than the sum of its proper divisors (7425029952).

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

2505061440 is a wasteful number, since it uses less digits than its factorization.

2505061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2505061440 is about 50050.5888077253. The cubic root of 2505061440 is about 1358.1241149992.

Adding to 2505061440 its reverse (441605052), we get a palindrome (2946666492).

The spelling of 2505061440 in words is "two billion, five hundred five million, sixty-one thousand, four hundred forty".