3005006250 has 96 divisors (see below), whose sum is σ = 7572640320. Its totient is φ = 794880000.

The previous prime is 3005006239. The next prime is 3005006261. The reversal of 3005006250 is 526005003.

It is an interprime number because it is at equal distance from previous prime (3005006239) and next prime (3005006261).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2605674 + ... + 2606826.

It is an arithmetic number, because the mean of its divisors is an integer number (78881670).

Almost surely, 2^3005006250 is an apocalyptic number.

3005006250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005006250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786320160).

3005006250 is an abundant number, since it is smaller than the sum of its proper divisors (4567634070).

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

3005006250 is a wasteful number, since it uses less digits than its factorization.

3005006250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 3005006250 is about 54817.9373015804. The cubic root of 3005006250 is about 1443.0513757918.

The spelling of 3005006250 in words is "three billion, five million, six thousand, two hundred fifty".