2000152000 has 448 divisors, whose sum is σ = 6573146112. Its totient is φ = 583680000.

The previous prime is 2000151991. The next prime is 2000152019. The reversal of 2000152000 is 2510002.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 10471905 + ... + 10472095.

Almost surely, 2^2000152000 is an apocalyptic number.

2000152000 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 2000152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286573056).

2000152000 is an abundant number, since it is smaller than the sum of its proper divisors (4572994112).

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

2000152000 is a wasteful number, since it uses less digits than its factorization.

2000152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2000152000 is about 44723.0589293711. The cubic root of 2000152000 is about 1259.9529670862.

Adding to 2000152000 its reverse (2510002), we get a palindrome (2002662002).

The spelling of 2000152000 in words is "two billion, one hundred fifty-two thousand".