2462442642 has 48 divisors (see below), whose sum is σ = 5839179840. Its totient is φ = 743776800.

The previous prime is 2462442607. The next prime is 2462442649.

2462442642 is a `hidden beast` number, since 2 + 4 + 6 + 2 + 4 + 4 + 2 + 642 = 666.

2462442642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2462442597 and 2462442606.

It is not an unprimeable number, because it can be changed into a prime (2462442649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41584 + ... + 81572.

It is an arithmetic number, because the mean of its divisors is an integer number (121649580).

Almost surely, 2^2462442642 is an apocalyptic number.

2462442642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2462442642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919589920).

2462442642 is an abundant number, since it is smaller than the sum of its proper divisors (3376737198).

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

2462442642 is a wasteful number, since it uses less digits than its factorization.

2462442642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40319 (or 40316 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 2462442642 is about 49623.0051689738. The cubic root of 2462442642 is about 1350.3780636618.

The spelling of 2462442642 in words is "two billion, four hundred sixty-two million, four hundred forty-two thousand, six hundred forty-two".