2924100 has 135 divisors (see below), whose sum is σ = 10003917. Its totient is φ = 738720.

The previous prime is 2924087. The next prime is 2924111. The reversal of 2924100 is 14292.

The square root of 2924100 is 1710.

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

It can be written as a sum of positive squares in only one way, i.e., 1052676 + 1871424 = 1026^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 153891 + ... + 153909.

2^2924100 is an apocalyptic number.

2924100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2924100 is the 1710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2924100

2924100 is an abundant number, since it is smaller than the sum of its proper divisors (7079817).

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

2924100 is a wasteful number, since it uses less digits than its factorization.

2924100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 2924100 is about 142.9982558022.

Multiplying 2924100 by its product of nonzero digits (144), we get a square (421070400 = 20520²).

Adding to 2924100 its reverse (14292), we get a palindrome (2938392).

The spelling of 2924100 in words is "two million, nine hundred twenty-four thousand, one hundred".