2052019200 has 528 divisors, whose sum is σ = 8479885824. Its totient is φ = 425164800.

The previous prime is 2052019159. The next prime is 2052019213. The reversal of 2052019200 is 29102502.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5913427 + ... + 5913773.

Almost surely, 2^2052019200 is an apocalyptic number.

2052019200 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 2052019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239942912).

2052019200 is an abundant number, since it is smaller than the sum of its proper divisors (6427866624).

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

2052019200 is a wasteful number, since it uses less digits than its factorization.

2052019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2052019200 is about 45299.2185363059. The cubic root of 2052019200 is about 1270.7510386078.

The spelling of 2052019200 in words is "two billion, fifty-two million, nineteen thousand, two hundred".