2461535532 has 144 divisors (see below), whose sum is σ = 6868592640. Its totient is φ = 740678400.

The previous prime is 2461535521. The next prime is 2461535561. The reversal of 2461535532 is 2355351642.

2461535532 is a `hidden beast` number, since 2 + 4 + 615 + 3 + 5 + 5 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 1051219 + ... + 1053557.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 2^2461535532 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 2461535532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434296320).

2461535532 is an abundant number, since it is smaller than the sum of its proper divisors (4407057108).

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

2461535532 is a wasteful number, since it uses less digits than its factorization.

2461535532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2439 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 2461535532 is about 49613.8643123069. The cubic root of 2461535532 is about 1350.2122267175.

The spelling of 2461535532 in words is "two billion, four hundred sixty-one million, five hundred thirty-five thousand, five hundred thirty-two".