2997918000 has 960 divisors, whose sum is σ = 13760547840. Its totient is φ = 616896000.

The previous prime is 2997917999. The next prime is 2997918013. The reversal of 2997918000 is 8197992.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29105949 + ... + 29106051.

It is an arithmetic number, because the mean of its divisors is an integer number (14333904).

Almost surely, 2^2997918000 is an apocalyptic number.

2997918000 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 2997918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880273920).

2997918000 is an abundant number, since it is smaller than the sum of its proper divisors (10762629840).

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

2997918000 is a wasteful number, since it uses less digits than its factorization.

2997918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 2997918000 is about 54753.2464790902. The cubic root of 2997918000 is about 1441.9158526949.

The spelling of 2997918000 in words is "two billion, nine hundred ninety-seven million, nine hundred eighteen thousand".