2149509852 has 144 divisors (see below), whose sum is σ = 6864268320. Its totient is φ = 577995264.

The previous prime is 2149509821. The next prime is 2149509863. The reversal of 2149509852 is 2589059412.

It is a happy number.

2149509852 is a `hidden beast` number, since 21 + 49 + 509 + 85 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2149509798 and 2149509807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78018 + ... + 101910.

It is an arithmetic number, because the mean of its divisors is an integer number (47668530).

Almost surely, 2^2149509852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149509852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432134160).

2149509852 is an abundant number, since it is smaller than the sum of its proper divisors (4714758468).

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

2149509852 is a wasteful number, since it uses less digits than its factorization.

2149509852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23937 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2149509852 is about 46362.8067743962. The cubic root of 2149509852 is about 1290.5647932462.

The spelling of 2149509852 in words is "two billion, one hundred forty-nine million, five hundred nine thousand, eight hundred fifty-two".