2000241792 has 96 divisors (see below), whose sum is σ = 5878529280. Its totient is φ = 652543488.

The previous prime is 2000241779. The next prime is 2000241797. The reversal of 2000241792 is 2971420002.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2000241797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35673 + ... + 72615.

It is an arithmetic number, because the mean of its divisors is an integer number (61234680).

Almost surely, 2^2000241792 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 2000241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939264640).

2000241792 is an abundant number, since it is smaller than the sum of its proper divisors (3878287488).

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

2000241792 is a wasteful number, since it uses less digits than its factorization.

2000241792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37010 (or 36995 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2000241792 is about 44724.0627850378. The cubic root of 2000241792 is about 1259.9718209873.

Adding to 2000241792 its reverse (2971420002), we get a palindrome (4971661794).

The spelling of 2000241792 in words is "two billion, two hundred forty-one thousand, seven hundred ninety-two".