2801426166 has 192 divisors, whose sum is σ = 7894388736. Its totient is φ = 696729600.

The previous prime is 2801426153. The next prime is 2801426167. The reversal of 2801426166 is 6616241082.

2801426166 is a `hidden beast` number, since 28 + 0 + 14 + 2 + 616 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2801426166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801426167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4854870 + ... + 4855446.

It is an arithmetic number, because the mean of its divisors is an integer number (41116608).

Almost surely, 2^2801426166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2801426166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947194368).

2801426166 is an abundant number, since it is smaller than the sum of its proper divisors (5092962570).

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

2801426166 is a wasteful number, since it uses less digits than its factorization.

2801426166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2801426166 is about 52928.5005077605. The cubic root of 2801426166 is about 1409.6990062205.

The spelling of 2801426166 in words is "two billion, eight hundred one million, four hundred twenty-six thousand, one hundred sixty-six".