2461532540 has 48 divisors (see below), whose sum is σ = 5220452160. Its totient is φ = 974899200.

The previous prime is 2461532471. The next prime is 2461532599. The reversal of 2461532540 is 452351642.

It is a junction number, because it is equal to n+sod(n) for n = 2461532497 and 2461532506.

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 15 ways as a sum of consecutive naturals, for example, 1064906 + ... + 1067214.

It is an arithmetic number, because the mean of its divisors is an integer number (108759420).

Almost surely, 2^2461532540 is an apocalyptic number.

2461532540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461532540 is an abundant number, since it is smaller than the sum of its proper divisors (2758919620).

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

2461532540 is a wasteful number, since it uses less digits than its factorization.

2461532540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2461532540 is about 49613.8341594358. The cubic root of 2461532540 is about 1350.2116796556.

The spelling of 2461532540 in words is "two billion, four hundred sixty-one million, five hundred thirty-two thousand, five hundred forty".