2971900 has 36 divisors (see below), whose sum is σ = 6530832. Its totient is φ = 1173760.

The previous prime is 2971897. The next prime is 2971909. The reversal of 2971900 is 91792.

It is a super-2 number, since 2×2971900² = 17664379220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971909) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11169 + ... + 11431.

It is an arithmetic number, because the mean of its divisors is an integer number (181412).

2^2971900 is an apocalyptic number.

2971900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2971900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265416).

2971900 is an abundant number, since it is smaller than the sum of its proper divisors (3558932).

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

2971900 is a wasteful number, since it uses less digits than its factorization.

2971900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 2971900 is about 1723.9199517379. The cubic root of 2971900 is about 143.7732413587.

It can be divided in two parts, 297 and 1900, that added together give a cube (2197 = 13³).

The spelling of 2971900 in words is "two million, nine hundred seventy-one thousand, nine hundred".