2505640410 has 384 divisors, whose sum is σ = 8453652480. Its totient is φ = 500774400.

The previous prime is 2505640373. The next prime is 2505640411. The reversal of 2505640410 is 140465052.

2505640410 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 640 + 4 + 10 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2505640411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18026121 + ... + 18026259.

It is an arithmetic number, because the mean of its divisors is an integer number (22014720).

Almost surely, 2^2505640410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505640410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226826240).

2505640410 is an abundant number, since it is smaller than the sum of its proper divisors (5948012070).

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

2505640410 is a wasteful number, since it uses less digits than its factorization.

2505640410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 271 counting only the distinct ones).

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

The square root of 2505640410 is about 50056.3723216136. The cubic root of 2505640410 is about 1358.2287368575.

The spelling of 2505640410 in words is "two billion, five hundred five million, six hundred forty thousand, four hundred ten".