2000241024 has 128 divisors (see below), whose sum is σ = 5536788480. Its totient is φ = 639098880.

The previous prime is 2000241007. The next prime is 2000241031. The reversal of 2000241024 is 4201420002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2000240994 and 2000241012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1344409 + ... + 1345895.

It is an arithmetic number, because the mean of its divisors is an integer number (43256160).

Almost surely, 2^2000241024 is an apocalyptic number.

2000241024 is a gapful number since it is divisible by the number (24) 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 2000241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768394240).

2000241024 is an abundant number, since it is smaller than the sum of its proper divisors (3536547456).

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

2000241024 is a wasteful number, since it uses less digits than its factorization.

2000241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2000241024 is about 44724.0541990549. The cubic root of 2000241024 is about 1259.9716597304.

Adding to 2000241024 its reverse (4201420002), we get a palindrome (6201661026).

The spelling of 2000241024 in words is "two billion, two hundred forty-one thousand, twenty-four".