2461441642 has 32 divisors (see below), whose sum is σ = 4268376000. Its totient is φ = 1053897600.

The previous prime is 2461441637. The next prime is 2461441649.

2461441642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2461441598 and 2461441607.

It is not an unprimeable number, because it can be changed into a prime (2461441649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20892 + ... + 73207.

It is an arithmetic number, because the mean of its divisors is an integer number (133386750).

Almost surely, 2^2461441642 is an apocalyptic number.

2461441642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2461441642 is a deficient number, since it is larger than the sum of its proper divisors (1806934358).

2461441642 is a wasteful number, since it uses less digits than its factorization.

2461441642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94182.

The product of its digits is 36864, while the sum is 34.

The square root of 2461441642 is about 49612.9180959959. The cubic root of 2461441642 is about 1350.1950595148.

The spelling of 2461441642 in words is "two billion, four hundred sixty-one million, four hundred forty-one thousand, six hundred forty-two".