2578227200 has 84 divisors (see below), whose sum is σ = 6394121070. Its totient is φ = 1031208960.

The previous prime is 2578227193. The next prime is 2578227203. The reversal of 2578227200 is 27228752.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1298305024 + 1279922176 = 36032^2 + 35776^2 .

It is not an unprimeable number, because it can be changed into a prime (2578227203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 198506 + ... + 211094.

Almost surely, 2^2578227200 is an apocalyptic number.

2578227200 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 2578227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197060535).

2578227200 is an abundant number, since it is smaller than the sum of its proper divisors (3815893870).

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

2578227200 is an equidigital number, since it uses as much as digits as its factorization.

2578227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12625 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 2578227200 is about 50776.2464150315. The cubic root of 2578227200 is about 1371.2197565671.

The spelling of 2578227200 in words is "two billion, five hundred seventy-eight million, two hundred twenty-seven thousand, two hundred".