2001510000 has 500 divisors, whose sum is σ = 8296431792. Its totient is φ = 456192000.

The previous prime is 2001509999. The next prime is 2001510001. The reversal of 2001510000 is 151002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001509999) and next prime (2001510001).

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001510001) 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 99 ways as a sum of consecutive naturals, for example, 5669824 + ... + 5670176.

Almost surely, 2^2001510000 is an apocalyptic number.

2001510000 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 2001510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148215896).

2001510000 is an abundant number, since it is smaller than the sum of its proper divisors (6294921792).

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

2001510000 is an equidigital number, since it uses as much as digits as its factorization.

2001510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2001510000 is about 44738.2386778916. The cubic root of 2001510000 is about 1260.2380502607.

Adding to 2001510000 its reverse (151002), we get a palindrome (2001661002).

The spelling of 2001510000 in words is "two billion, one million, five hundred ten thousand".