2465135316 has 144 divisors (see below), whose sum is σ = 7826145600. Its totient is φ = 667227456.

The previous prime is 2465135287. The next prime is 2465135317. The reversal of 2465135316 is 6135315642.

2465135316 is a `hidden beast` number, since 246 + 51 + 353 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465135317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88290 + ... + 112806.

Almost surely, 2^2465135316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465135316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913072800).

2465135316 is an abundant number, since it is smaller than the sum of its proper divisors (5361010284).

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

2465135316 is a wasteful number, since it uses less digits than its factorization.

2465135316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24563 (or 24548 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2465135316 is about 49650.1290632764. The cubic root of 2465135316 is about 1350.8700958794.

The spelling of 2465135316 in words is "two billion, four hundred sixty-five million, one hundred thirty-five thousand, three hundred sixteen".