2997988360900 has 243 divisors, whose sum is σ = 7445464750773. Its totient is φ = 1047193056000.

The previous prime is 2997988360889. The next prime is 2997988360937. The reversal of 2997988360900 is 90638897992.

The square root of 2997988360900 is 1731470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1875897293956 + 1122091066944 = 1369634^2 + 1059288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2997988360900.

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 80 ways as a sum of consecutive naturals, for example, 4276730550 + ... + 4276731250.

Almost surely, 2^{2997988360900} is an apocalyptic number.

2997988360900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2997988360900 is the 1731470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2997988360900

2997988360900 is an abundant number, since it is smaller than the sum of its proper divisors (4447476389873).

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

2997988360900 is a wasteful number, since it uses less digits than its factorization.

2997988360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 70.

The spelling of 2997988360900 in words is "two trillion, nine hundred ninety-seven billion, nine hundred eighty-eight million, three hundred sixty thousand, nine hundred".