2121504 has 144 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 537600.

The previous prime is 2121503. The next prime is 2121529. The reversal of 2121504 is 4051212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51724 + ... + 51764.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2^2121504 is an apocalyptic number.

2121504 is a gapful number since it is divisible by the number (24) 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 2121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728).

2121504 is an abundant number, since it is smaller than the sum of its proper divisors (5117952).

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

2121504 is a wasteful number, since it uses less digits than its factorization.

2121504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2121504 is about 1456.5383620077. The cubic root of 2121504 is about 128.4935373011.

Adding to 2121504 its reverse (4051212), we get a palindrome (6172716).

It can be divided in two parts, 21 and 21504, that multiplied together give a square (451584 = 672²).

The spelling of 2121504 in words is "two million, one hundred twenty-one thousand, five hundred four".