2505505054440 has 128 divisors (see below), whose sum is σ = 7573764481920. Its totient is φ = 663056409600.

The previous prime is 2505505054433. The next prime is 2505505054511. The reversal of 2505505054440 is 444505055052.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15197250 + ... + 15361230.

It is an arithmetic number, because the mean of its divisors is an integer number (59170035015).

Almost surely, 2^{2505505054440} is an apocalyptic number.

2505505054440 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 2505505054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786882240960).

2505505054440 is an abundant number, since it is smaller than the sum of its proper divisors (5068259427480).

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

2505505054440 is a wasteful number, since it uses less digits than its factorization.

2505505054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164963 (or 164959 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 39.

The spelling of 2505505054440 in words is "two trillion, five hundred five billion, five hundred five million, fifty-four thousand, four hundred forty".