2461153536 has 108 divisors (see below), whose sum is σ = 7193810988. Its totient is φ = 809091072.

The previous prime is 2461153517. The next prime is 2461153559. The reversal of 2461153536 is 6353511642.

2461153536 is a `hidden beast` number, since 2 + 4 + 6 + 115 + 3 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 476985600 + 1984167936 = 21840^2 + 44544^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2461153536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160876 + ... + 175508.

It is an arithmetic number, because the mean of its divisors is an integer number (66609361).

Almost surely, 2^2461153536 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 2461153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596905494).

2461153536 is an abundant number, since it is smaller than the sum of its proper divisors (4732657452).

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

2461153536 is a wasteful number, since it uses less digits than its factorization.

2461153536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14728 (or 14711 counting only the distinct ones).

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

The square root of 2461153536 is about 49610.0144728864. The cubic root of 2461153536 is about 1350.1423783991.

The spelling of 2461153536 in words is "two billion, four hundred sixty-one million, one hundred fifty-three thousand, five hundred thirty-six".