2971340100 has 243 divisors, whose sum is σ = 9860842173. Its totient is φ = 748313280.

The previous prime is 2971340083. The next prime is 2971340117. The reversal of 2971340100 is 10431792.

The square root of 2971340100 is 54510.

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

It is an interprime number because it is at equal distance from previous prime (2971340083) and next prime (2971340117).

It can be written as a sum of positive squares in only one way, i.e., 1069682436 + 1901657664 = 32706^2 + 43608^2 .

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, 37611861 + ... + 37611939.

Almost surely, 2^2971340100 is an apocalyptic number.

2971340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2971340100 is the 54510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2971340100

2971340100 is an abundant number, since it is smaller than the sum of its proper divisors (6889502073).

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

2971340100 is a wasteful number, since it uses less digits than its factorization.

2971340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 2971340100 is about 1437.6421192822.

Adding to 2971340100 its reverse (10431792), we get a palindrome (2981771892).

The spelling of 2971340100 in words is "two billion, nine hundred seventy-one million, three hundred forty thousand, one hundred".