2454332166 has 96 divisors (see below), whose sum is σ = 6278388480. Its totient is φ = 683121600.

The previous prime is 2454332159. The next prime is 2454332203. The reversal of 2454332166 is 6612334542.

2454332166 is a `hidden beast` number, since 2 + 4 + 5 + 433 + 216 + 6 = 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 2454332166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540855 + ... + 545373.

It is an arithmetic number, because the mean of its divisors is an integer number (65399880).

Almost surely, 2^2454332166 is an apocalyptic number.

2454332166 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 2454332166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139194240).

2454332166 is an abundant number, since it is smaller than the sum of its proper divisors (3824056314).

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

2454332166 is a wasteful number, since it uses less digits than its factorization.

2454332166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4759 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2454332166 is about 49541.2168401221. The cubic root of 2454332166 is about 1348.8938659436.

The spelling of 2454332166 in words is "two billion, four hundred fifty-four million, three hundred thirty-two thousand, one hundred sixty-six".