2505145240 has 64 divisors (see below), whose sum is σ = 6077604960. Its totient is φ = 923842560.

The previous prime is 2505145187. The next prime is 2505145241. The reversal of 2505145240 is 425415052.

2505145240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2505145199 and 2505145208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505145241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505575 + ... + 510505.

Almost surely, 2^2505145240 is an apocalyptic number.

2505145240 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 2505145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038802480).

2505145240 is an abundant number, since it is smaller than the sum of its proper divisors (3572459720).

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

2505145240 is a wasteful number, since it uses less digits than its factorization.

2505145240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 2505145240 is about 50051.4259537128. The cubic root of 2505145240 is about 1358.1392589433.

The spelling of 2505145240 in words is "two billion, five hundred five million, one hundred forty-five thousand, two hundred forty".