2004001500 has 192 divisors, whose sum is σ = 6302499840. Its totient is φ = 493292800.

The previous prime is 2004001469. The next prime is 2004001513. The reversal of 2004001500 is 51004002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999499 + ... + 1001501.

It is an arithmetic number, because the mean of its divisors is an integer number (32825520).

Almost surely, 2^2004001500 is an apocalyptic number.

2004001500 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 2004001500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151249920).

2004001500 is an abundant number, since it is smaller than the sum of its proper divisors (4298498340).

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

2004001500 is a wasteful number, since it uses less digits than its factorization.

2004001500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2065 counting only the distinct ones).

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

The square root of 2004001500 is about 44766.0753249601. The cubic root of 2004001500 is about 1260.7607524788.

Adding to 2004001500 its reverse (51004002), we get a palindrome (2055005502).

The spelling of 2004001500 in words is "two billion, four million, one thousand, five hundred".