2075053200 has 360 divisors, whose sum is σ = 7558349568. Its totient is φ = 485760000.

The previous prime is 2075053177. The next prime is 2075053207. The reversal of 2075053200 is 23505702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2075053207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4500970 + ... + 4501430.

Almost surely, 2^2075053200 is an apocalyptic number.

2075053200 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 2075053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779174784).

2075053200 is an abundant number, since it is smaller than the sum of its proper divisors (5483296368).

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

2075053200 is a wasteful number, since it uses less digits than its factorization.

2075053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2075053200 is about 45552.7518378418. The cubic root of 2075053200 is about 1275.4881022378.

Adding to 2075053200 its reverse (23505702), we get a palindrome (2098558902).

The spelling of 2075053200 in words is "two billion, seventy-five million, fifty-three thousand, two hundred".