2998413000 has 384 divisors, whose sum is σ = 11424291840. Its totient is φ = 702720000.

The previous prime is 2998412959. The next prime is 2998413001. The reversal of 2998413000 is 3148992.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2998413001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3068512 + ... + 3069488.

It is an arithmetic number, because the mean of its divisors is an integer number (29750760).

Almost surely, 2^2998413000 is an apocalyptic number.

2998413000 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 2998413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712145920).

2998413000 is an abundant number, since it is smaller than the sum of its proper divisors (8425878840).

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

2998413000 is a wasteful number, since it uses less digits than its factorization.

2998413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2998413000 is about 54757.7665724233. The cubic root of 2998413000 is about 1441.9952087755.

The spelling of 2998413000 in words is "two billion, nine hundred ninety-eight million, four hundred thirteen thousand".