2996395620100 has 243 divisors, whose sum is σ = 6935054105343. Its totient is φ = 1123688603520.

The previous prime is 2996395620083. The next prime is 2996395620167. The reversal of 2996395620100 is 10265936992.

The square root of 2996395620100 is 1731010.

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 41187078916 + 2955208541184 = 202946^2 + 1719072^2 .

It is a Duffinian number.

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, 23593666237 + ... + 23593666363.

Almost surely, 2^{2996395620100} is an apocalyptic number.

2996395620100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2996395620100 is the 1731010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996395620100

2996395620100 is an abundant number, since it is smaller than the sum of its proper divisors (3938658485243).

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

2996395620100 is a wasteful number, since it uses less digits than its factorization.

2996395620100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 52.

The spelling of 2996395620100 in words is "two trillion, nine hundred ninety-six billion, three hundred ninety-five million, six hundred twenty thousand, one hundred".