2993452478208 has 432 divisors, whose sum is σ = 9644213376000. Its totient is φ = 914783569920.

The previous prime is 2993452478171. The next prime is 2993452478243. The reversal of 2993452478208 is 8028742543992.

2993452478208 is a `hidden beast` number, since 2 + 9 + 9 + 34 + 524 + 78 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77332843 + ... + 77371541.

It is an arithmetic number, because the mean of its divisors is an integer number (22324568000).

Almost surely, 2^{2993452478208} 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 2993452478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822106688000).

2993452478208 is an abundant number, since it is smaller than the sum of its proper divisors (6650760897792).

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

2993452478208 is a wasteful number, since it uses less digits than its factorization.

2993452478208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38793 (or 38754 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2993452478208 in words is "two trillion, nine hundred ninety-three billion, four hundred fifty-two million, four hundred seventy-eight thousand, two hundred eight".