2971100 has 72 divisors (see below), whose sum is σ = 7322448. Its totient is φ = 1036800.

The previous prime is 2971099. The next prime is 2971103. The reversal of 2971100 is 11792.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971103) 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 23 ways as a sum of consecutive naturals, for example, 40664 + ... + 40736.

2^2971100 is an apocalyptic number.

2971100 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 2971100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661224).

2971100 is an abundant number, since it is smaller than the sum of its proper divisors (4351348).

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

2971100 is a wasteful number, since it uses less digits than its factorization.

2971100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 2971100 is about 1723.6879067859. The cubic root of 2971100 is about 143.7603395209.

Adding to 2971100 its reverse (11792), we get a palindrome (2982892).

The spelling of 2971100 in words is "two million, nine hundred seventy-one thousand, one hundred".