2990305214208 has 432 divisors, whose sum is σ = 9435965063616. Its totient is φ = 905191096320.

The previous prime is 2990305214201. The next prime is 2990305214233. The reversal of 2990305214208 is 8024125030992.

2990305214208 is a `hidden beast` number, since 2 + 9 + 90 + 30 + 521 + 4 + 2 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990305214201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227042366 + ... + 1227044802.

Almost surely, 2^{2990305214208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990305214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717982531808).

2990305214208 is an abundant number, since it is smaller than the sum of its proper divisors (6445659849408).

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

2990305214208 is a wasteful number, since it uses less digits than its factorization.

2990305214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2990305214208 in words is "two trillion, nine hundred ninety billion, three hundred five million, two hundred fourteen thousand, two hundred eight".