2465084160 has 648 divisors, whose sum is σ = 10850623056. Its totient is φ = 510935040.

The previous prime is 2465084143. The next prime is 2465084191. The reversal of 2465084160 is 614805642.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209082 + ... + 6209478.

Almost surely, 2^2465084160 is an apocalyptic number.

2465084160 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 2465084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425311528).

2465084160 is an abundant number, since it is smaller than the sum of its proper divisors (8385538896).

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

2465084160 is a wasteful number, since it uses less digits than its factorization.

2465084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2465084160 is about 49649.6138957797. The cubic root of 2465084160 is about 1350.8607514852.

The spelling of 2465084160 in words is "two billion, four hundred sixty-five million, eighty-four thousand, one hundred sixty".