2412662142 has 96 divisors (see below), whose sum is σ = 5794024320. Its totient is φ = 662333760.

The previous prime is 2412662137. The next prime is 2412662143.

2412662142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2412662142² = 11641877222880056328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412662143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661548 + ... + 665184.

It is an arithmetic number, because the mean of its divisors is an integer number (60354420).

Almost surely, 2^2412662142 is an apocalyptic number.

2412662142 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 2412662142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897012160).

2412662142 is an abundant number, since it is smaller than the sum of its proper divisors (3381362178).

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

2412662142 is a wasteful number, since it uses less digits than its factorization.

2412662142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3695 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2412662142 is about 49118.8572953402. The cubic root of 2412662142 is about 1341.2163422916.

It can be divided in two parts, 24126 and 62142, that added together give a palindrome (86268).

The spelling of 2412662142 in words is "two billion, four hundred twelve million, six hundred sixty-two thousand, one hundred forty-two".