206954002824 has 96 divisors (see below), whose sum is σ = 549996885600. Its totient is φ = 64881008640.

The previous prime is 206954002823. The next prime is 206954002847. The reversal of 206954002824 is 428200459602.

206954002824 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206954002823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10609272 + ... + 10628760.

It is an arithmetic number, because the mean of its divisors is an integer number (5729134225).

Almost surely, 2^206954002824 is an apocalyptic number.

206954002824 is a gapful number since it is divisible by the number (24) 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 206954002824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274998442800).

206954002824 is an abundant number, since it is smaller than the sum of its proper divisors (343042882776).

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

206954002824 is a wasteful number, since it uses less digits than its factorization.

206954002824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21063 (or 21042 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 206954002824 in words is "two hundred six billion, nine hundred fifty-four million, two thousand, eight hundred twenty-four".