2806149852 has 192 divisors, whose sum is σ = 8389785600. Its totient is φ = 803093760.

The previous prime is 2806149833. The next prime is 2806149859. The reversal of 2806149852 is 2589416082.

2806149852 is a `hidden beast` number, since 28 + 0 + 614 + 9 + 8 + 5 + 2 = 666.

2806149852 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2806149798 and 2806149807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806149859) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1618378 + ... + 1620110.

It is an arithmetic number, because the mean of its divisors is an integer number (43696800).

Almost surely, 2^2806149852 is an apocalyptic number.

2806149852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806149852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194892800).

2806149852 is an abundant number, since it is smaller than the sum of its proper divisors (5583635748).

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

2806149852 is a wasteful number, since it uses less digits than its factorization.

2806149852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2806149852 is about 52973.1049873424. The cubic root of 2806149852 is about 1410.4908929051.

The spelling of 2806149852 in words is "two billion, eight hundred six million, one hundred forty-nine thousand, eight hundred fifty-two".