2051125200 has 240 divisors, whose sum is σ = 7348190400. Its totient is φ = 543398400.

The previous prime is 2051125189. The next prime is 2051125201. The reversal of 2051125200 is 25211502.

2051125200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2051125200² = 8414229172150080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051125201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1932670 + ... + 1933730.

It is an arithmetic number, because the mean of its divisors is an integer number (30617460).

Almost surely, 2^2051125200 is an apocalyptic number.

2051125200 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 2051125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674095200).

2051125200 is an abundant number, since it is smaller than the sum of its proper divisors (5297065200).

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

2051125200 is a wasteful number, since it uses less digits than its factorization.

2051125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2051125200 is about 45289.3497414127. The cubic root of 2051125200 is about 1270.5664697615.

Adding to 2051125200 its reverse (25211502), we get a palindrome (2076336702).

It can be divided in two parts, 2051125 and 200, that added together give a triangular number (2051325 = T₂₀₂₅).

The spelling of 2051125200 in words is "two billion, fifty-one million, one hundred twenty-five thousand, two hundred".