2993280612100 has 81 divisors (see below), whose sum is σ = 6712910406783. Its totient is φ = 1158481656000.

The previous prime is 2993280612011. The next prime is 2993280612149. The reversal of 2993280612100 is 12160823992.

The square root of 2993280612100 is 1730110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 317412799236 + 2675867812864 = 563394^2 + 1635808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 536331310 + ... + 536336890.

Almost surely, 2^{2993280612100} is an apocalyptic number.

2993280612100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2993280612100 is the 1730110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993280612100

2993280612100 is an abundant number, since it is smaller than the sum of its proper divisors (3719629794683).

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

2993280612100 is an frugal number, since it uses more digits than its factorization.

2993280612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 2993280612100 in words is "two trillion, nine hundred ninety-three billion, two hundred eighty million, six hundred twelve thousand, one hundred".