2411125200 has 180 divisors, whose sum is σ = 9128085408. Its totient is φ = 584505600.

The previous prime is 2411125151. The next prime is 2411125207. The reversal of 2411125200 is 25211142.

2411125200 is a `hidden beast` number, since 2 + 411 + 1 + 252 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 (2411125207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9157 + ... + 70043.

Almost surely, 2^2411125200 is an apocalyptic number.

2411125200 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 2411125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564042704).

2411125200 is an abundant number, since it is smaller than the sum of its proper divisors (6716960208).

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

2411125200 is a wasteful number, since it uses less digits than its factorization.

2411125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60922 (or 60908 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2411125200 is about 49103.2096710592. The cubic root of 2411125200 is about 1340.9314827352.

Adding to 2411125200 its reverse (25211142), we get a palindrome (2436336342).

The spelling of 2411125200 in words is "two billion, four hundred eleven million, one hundred twenty-five thousand, two hundred".