2052400 has 60 divisors (see below), whose sum is σ = 5642992. Its totient is φ = 702720.

The previous prime is 2052371. The next prime is 2052409. The reversal of 2052400 is 42502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2052409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2434 + ... + 3166.

2^2052400 is an apocalyptic number.

2052400 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 2052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821496).

2052400 is an abundant number, since it is smaller than the sum of its proper divisors (3590592).

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

2052400 is a wasteful number, since it uses less digits than its factorization.

2052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2052400 is about 1432.6199775237. The cubic root of 2052400 is about 127.0829639572.

Adding to 2052400 its reverse (42502), we get a palindrome (2094902).

The spelling of 2052400 in words is "two million, fifty-two thousand, four hundred".