6998241000 has 128 divisors (see below), whose sum is σ = 21882182400. Its totient is φ = 1862124800.

The previous prime is 6998240983. The next prime is 6998241001. The reversal of 6998241000 is 1428996.

It is a self number, because there is not a number n which added to its sum of digits gives 6998241000.

It is not an unprimeable number, because it can be changed into a prime (6998241001) 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, 1524709 + ... + 1529291.

It is an arithmetic number, because the mean of its divisors is an integer number (170954550).

Almost surely, 2^6998241000 is an apocalyptic number.

6998241000 is a gapful number since it is divisible by the number (60) 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 6998241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10941091200).

6998241000 is an abundant number, since it is smaller than the sum of its proper divisors (14883941400).

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

6998241000 is a wasteful number, since it uses less digits than its factorization.

6998241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 6998241000 is about 83655.4899573244. The cubic root of 6998241000 is about 1912.7709385897.

Adding to 6998241000 its reverse (1428996), we get a palindrome (6999669996).

The spelling of 6998241000 in words is "six billion, nine hundred ninety-eight million, two hundred forty-one thousand".