2995980192100 has 243 divisors, whose sum is σ = 7684202201067. Its totient is φ = 1010950536960.

The previous prime is 2995980192097. The next prime is 2995980192197. The reversal of 2995980192100 is 12910895992.

The square root of 2995980192100 is 1730890.

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

2995980192100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1683085886244 + 1312894305856 = 1297338^2 + 1145816^2 .

It is a super-3 number, since 3×2995980192100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9571821544 + ... + 9571821856.

Almost surely, 2^{2995980192100} is an apocalyptic number.

2995980192100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2995980192100 is the 1730890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2995980192100

2995980192100 is an abundant number, since it is smaller than the sum of its proper divisors (4688222008967).

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

2995980192100 is an equidigital number, since it uses as much as digits as its factorization.

2995980192100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 55.

The spelling of 2995980192100 in words is "two trillion, nine hundred ninety-five billion, nine hundred eighty million, one hundred ninety-two thousand, one hundred".