2958002208 has 216 divisors, whose sum is σ = 9848245680. Its totient is φ = 839704320.

The previous prime is 2958002197. The next prime is 2958002221. The reversal of 2958002208 is 8022008592.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2525463 + ... + 2526633.

It is an arithmetic number, because the mean of its divisors is an integer number (45593730).

Almost surely, 2^2958002208 is an apocalyptic number.

2958002208 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 2958002208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924122840).

2958002208 is an abundant number, since it is smaller than the sum of its proper divisors (6890243472).

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

2958002208 is a wasteful number, since it uses less digits than its factorization.

2958002208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2958002208 is about 54387.5188623272. The cubic root of 2958002208 is about 1435.4877738994.

The spelling of 2958002208 in words is "two billion, nine hundred fifty-eight million, two thousand, two hundred eight".