2505135240 has 96 divisors (see below), whose sum is σ = 8161522200. Its totient is φ = 666408960.

The previous prime is 2505135211. The next prime is 2505135247. The reversal of 2505135240 is 425315052.

It is a happy number.

2505135240 is a `hidden beast` number, since 2 + 505 + 135 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1740391524 + 764743716 = 41718^2 + 27654^2 .

It is not an unprimeable number, because it can be changed into a prime (2505135247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143296 + ... + 159824.

Almost surely, 2^2505135240 is an apocalyptic number.

2505135240 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 2505135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080761100).

2505135240 is an abundant number, since it is smaller than the sum of its proper divisors (5656386960).

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

2505135240 is a wasteful number, since it uses less digits than its factorization.

2505135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16967 (or 16960 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2505135240 is about 50051.3260563594. The cubic root of 2505135240 is about 1358.1374518079.

The spelling of 2505135240 in words is "two billion, five hundred five million, one hundred thirty-five thousand, two hundred forty".