2975830000 has 200 divisors, whose sum is σ = 8468426736. Its totient is φ = 998400000.

The previous prime is 2975829931. The next prime is 2975830021. The reversal of 2975830000 is 385792.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1428960 + ... + 1431040.

Almost surely, 2^2975830000 is an apocalyptic number.

2975830000 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 2975830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234213368).

2975830000 is an abundant number, since it is smaller than the sum of its proper divisors (5492596736).

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

2975830000 is a wasteful number, since it uses less digits than its factorization.

2975830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 2975830000 is about 54551.1686400942. The cubic root of 2975830000 is about 1438.3658803473.

The spelling of 2975830000 in words is "two billion, nine hundred seventy-five million, eight hundred thirty thousand".