2461331642 has 64 divisors (see below), whose sum is σ = 4713984000. Its totient is φ = 955488240.

The previous prime is 2461331599. The next prime is 2461331651.

2461331642 is nontrivially palindromic in base 10.

2461331642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2461331642³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2461331599 and 2461331608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3312323 + ... + 3313065.

It is an arithmetic number, because the mean of its divisors is an integer number (73656000).

Almost surely, 2^2461331642 is an apocalyptic number.

2461331642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2461331642 is a deficient number, since it is larger than the sum of its proper divisors (2252652358).

2461331642 is a wasteful number, since it uses less digits than its factorization.

2461331642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1202 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 2461331642 is about 49611.8095013677. The cubic root of 2461331642 is about 1350.1749461435.

The spelling of 2461331642 in words is "two billion, four hundred sixty-one million, three hundred thirty-one thousand, six hundred forty-two".