2998291968 has 300 divisors, whose sum is σ = 10132135728. Its totient is φ = 853493760.

The previous prime is 2998291963. The next prime is 2998291973. The reversal of 2998291968 is 8691928992.

It is an interprime number because it is at equal distance from previous prime (2998291963) and next prime (2998291973).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2998291963) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 11063673 + ... + 11063943.

Almost surely, 2^2998291968 is an apocalyptic number.

2998291968 is a gapful number since it is divisible by the number (28) 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 2998291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066067864).

2998291968 is an abundant number, since it is smaller than the sum of its proper divisors (7133843760).

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

2998291968 is an frugal number, since it uses more digits than its factorization.

2998291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 283 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The square root of 2998291968 is about 54756.6614029745. The cubic root of 2998291968 is about 1441.9758062991.

The spelling of 2998291968 in words is "two billion, nine hundred ninety-eight million, two hundred ninety-one thousand, nine hundred sixty-eight".