2062826002944 has 960 divisors, whose sum is σ = 7402604774400. Its totient is φ = 564834041856.

The previous prime is 2062826002927. The next prime is 2062826002997. The reversal of 2062826002944 is 4492006282602.

2062826002944 is a `hidden beast` number, since 20 + 6 + 282 + 60 + 0 + 294 + 4 = 666.

It is a super-3 number, since 3×2062826002944³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2062826002944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3398395089 + ... + 3398395695.

It is an arithmetic number, because the mean of its divisors is an integer number (7711046640).

Almost surely, 2^{2062826002944} is an apocalyptic number.

2062826002944 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 2062826002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701302387200).

2062826002944 is an abundant number, since it is smaller than the sum of its proper divisors (5339778771456).

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

2062826002944 is a wasteful number, since it uses less digits than its factorization.

2062826002944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2062826002944 in words is "two trillion, sixty-two billion, eight hundred twenty-six million, two thousand, nine hundred forty-four".