2052000 has 192 divisors, whose sum is σ = 7862400. Its totient is φ = 518400.

The previous prime is 2051999. The next prime is 2052023. The reversal of 2052000 is 2502.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107991 + ... + 108009.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2^2052000 is an apocalyptic number.

2052000 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 2052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2052000 is an abundant number, since it is smaller than the sum of its proper divisors (5810400).

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

2052000 is a wasteful number, since it uses less digits than its factorization.

2052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2052000 is about 1432.4803663576. The cubic root of 2052000 is about 127.0747075276.

Adding to 2052000 its reverse (2502), we get a palindrome (2054502).

The spelling of 2052000 in words is "two million, fifty-two thousand", and thus it is an eban number.