2011849632 has 288 divisors, whose sum is σ = 6628357008. Its totient is φ = 573308928.

The previous prime is 2011849621. The next prime is 2011849709. The reversal of 2011849632 is 2369481102.

2011849632 is a `hidden beast` number, since 2 + 0 + 1 + 18 + 4 + 9 + 632 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 549246096 + 1462603536 = 23436^2 + 38244^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4646088 + ... + 4646520.

Almost surely, 2^2011849632 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 2011849632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314178504).

2011849632 is an abundant number, since it is smaller than the sum of its proper divisors (4616507376).

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

2011849632 is a wasteful number, since it uses less digits than its factorization.

2011849632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2011849632 is about 44853.6468082585. The cubic root of 2011849632 is about 1262.4044186307.

The spelling of 2011849632 in words is "two billion, eleven million, eight hundred forty-nine thousand, six hundred thirty-two".