2010993408 has 216 divisors, whose sum is σ = 6116449248. Its totient is φ = 634208256.

The previous prime is 2010993407. The next prime is 2010993419. The reversal of 2010993408 is 8043990102.

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 (2010993403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7259766 + ... + 7260042.

Almost surely, 2^2010993408 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 2010993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058224624).

2010993408 is an abundant number, since it is smaller than the sum of its proper divisors (4105455840).

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

2010993408 is a wasteful number, since it uses less digits than its factorization.

2010993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 442 counting only the distinct ones).

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

The square root of 2010993408 is about 44844.1011505415. The cubic root of 2010993408 is about 1262.2253041282.

The spelling of 2010993408 in words is "two billion, ten million, nine hundred ninety-three thousand, four hundred eight".