2995008000 has 320 divisors, whose sum is σ = 10494506880. Its totient is φ = 755712000.

The previous prime is 2995007999. The next prime is 2995008001. The reversal of 2995008000 is 8005992.

It is an interprime number because it is at equal distance from previous prime (2995007999) and next prime (2995008001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2995008001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647590 + ... + 3648410.

It is an arithmetic number, because the mean of its divisors is an integer number (32795334).

Almost surely, 2^2995008000 is an apocalyptic number.

2995008000 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 2995008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247253440).

2995008000 is an abundant number, since it is smaller than the sum of its proper divisors (7499498880).

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

2995008000 is an equidigital number, since it uses as much as digits as its factorization.

2995008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 2995008000 is about 54726.6662606083. Note that the first 3 decimals coincide. The cubic root of 2995008000 is about 1441.4491584196.

The spelling of 2995008000 in words is "two billion, nine hundred ninety-five million, eight thousand".