2000041500 has 192 divisors, whose sum is σ = 6320426112. Its totient is φ = 489472000.

The previous prime is 2000041471. The next prime is 2000041507. The reversal of 2000041500 is 51400002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000041507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1044544 + ... + 1046456.

It is an arithmetic number, because the mean of its divisors is an integer number (32918886).

Almost surely, 2^2000041500 is an apocalyptic number.

2000041500 is a gapful number since it is divisible by the number (20) 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 2000041500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160213056).

2000041500 is an abundant number, since it is smaller than the sum of its proper divisors (4320384612).

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

2000041500 is a wasteful number, since it uses less digits than its factorization.

2000041500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2000041500 is about 44721.8235316942. The cubic root of 2000041500 is about 1259.9297642885.

Adding to 2000041500 its reverse (51400002), we get a palindrome (2051441502).

The spelling of 2000041500 in words is "two billion, forty-one thousand, five hundred".