2575411200 has 576 divisors, whose sum is σ = 9993110400. Its totient is φ = 656916480.

The previous prime is 2575411199. The next prime is 2575411213. The reversal of 2575411200 is 21145752.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111974389 + ... + 111974411.

It is an arithmetic number, because the mean of its divisors is an integer number (17349150).

Almost surely, 2^2575411200 is an apocalyptic number.

2575411200 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 2575411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996555200).

2575411200 is an abundant number, since it is smaller than the sum of its proper divisors (7417699200).

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

2575411200 is an frugal number, since it uses more digits than its factorization.

2575411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2575411200 is about 50748.5093377136. The cubic root of 2575411200 is about 1370.7203486136.

Adding to 2575411200 its reverse (21145752), we get a palindrome (2596556952).

The spelling of 2575411200 in words is "two billion, five hundred seventy-five million, four hundred eleven thousand, two hundred".