2466666642 has 128 divisors (see below), whose sum is σ = 5699766528. Its totient is φ = 705024000.

The previous prime is 2466666623. The next prime is 2466666739.

2466666642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2466666591 and 2466666600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18004798 + ... + 18004934.

It is an arithmetic number, because the mean of its divisors is an integer number (44529426).

Almost surely, 2^2466666642 is an apocalyptic number.

2466666642 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 2466666642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849883264).

2466666642 is an abundant number, since it is smaller than the sum of its proper divisors (3233099886).

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

2466666642 is a wasteful number, since it uses less digits than its factorization.

2466666642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364.

The product of its digits is 2985984, while the sum is 48.

The square root of 2466666642 is about 49665.5478375101. The cubic root of 2466666642 is about 1351.1497552145.

It can be divided in two parts, 24 and 66666642, that added together give a palindrome (66666666).

The spelling of 2466666642 in words is "two billion, four hundred sixty-six million, six hundred sixty-six thousand, six hundred forty-two".