2642351166 has 288 divisors, whose sum is σ = 7810732800. Its totient is φ = 658082880.

The previous prime is 2642351141. The next prime is 2642351177. The reversal of 2642351166 is 6611532462.

2642351166 is a `hidden beast` number, since 2 + 64 + 23 + 511 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2642351166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8496151 + ... + 8496461.

It is an arithmetic number, because the mean of its divisors is an integer number (27120600).

Almost surely, 2^2642351166 is an apocalyptic number.

2642351166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642351166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905366400).

2642351166 is an abundant number, since it is smaller than the sum of its proper divisors (5168381634).

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

2642351166 is a wasteful number, since it uses less digits than its factorization.

2642351166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 355 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2642351166 is about 51403.8049758965. The cubic root of 2642351166 is about 1382.4948159823.

The spelling of 2642351166 in words is "two billion, six hundred forty-two million, three hundred fifty-one thousand, one hundred sixty-six".