2801461806 has 96 divisors (see below), whose sum is σ = 7148100960. Its totient is φ = 781747200.

The previous prime is 2801461787. The next prime is 2801461813. The reversal of 2801461806 is 6081641082.

2801461806 is a `hidden beast` number, since 28 + 0 + 14 + 618 + 0 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1340010 + ... + 1342098.

It is an arithmetic number, because the mean of its divisors is an integer number (74459385).

Almost surely, 2^2801461806 is an apocalyptic number.

2801461806 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 2801461806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574050480).

2801461806 is an abundant number, since it is smaller than the sum of its proper divisors (4346639154).

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

2801461806 is a wasteful number, since it uses less digits than its factorization.

2801461806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2801461806 is about 52928.8371873027. The cubic root of 2801461806 is about 1409.7049843017.

The spelling of 2801461806 in words is "two billion, eight hundred one million, four hundred sixty-one thousand, eight hundred six".