2461540100 has 18 divisors (see below), whose sum is σ = 5341542234. Its totient is φ = 984616000.

The previous prime is 2461540093. The next prime is 2461540111. The reversal of 2461540100 is 10451642.

It can be written as a sum of positive squares in 3 ways, for example, as 77757124 + 2383782976 = 8818^2 + 48824^2 .

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 5 ways as a sum of consecutive naturals, for example, 12307601 + ... + 12307800.

Almost surely, 2^2461540100 is an apocalyptic number.

2461540100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461540100 is an abundant number, since it is smaller than the sum of its proper divisors (2880002134).

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

2461540100 is a wasteful number, since it uses less digits than its factorization.

2461540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24615415 (or 24615408 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2461540100 is about 49613.9103478047. The cubic root of 2461540100 is about 1350.2130619367.

Adding to 2461540100 its reverse (10451642), we get a palindrome (2471991742).

The spelling of 2461540100 in words is "two billion, four hundred sixty-one million, five hundred forty thousand, one hundred".