2825985600 has 189 divisors, whose sum is σ = 10066944433. Its totient is φ = 751895040.

The previous prime is 2825985553. The next prime is 2825985607. The reversal of 2825985600 is 65895282.

The square root of 2825985600 is 53160.

It is a perfect power (a square), and thus also a powerful number.

2825985600 is a `hidden beast` number, since 2 + 8 + 2 + 598 + 56 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1017354816 + 1808630784 = 31896^2 + 42528^2 .

It is a super-2 number, since 2×2825985600² = 15972389222814720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2825985607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6378979 + ... + 6379421.

Almost surely, 2^2825985600 is an apocalyptic number.

2825985600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2825985600 is the 53160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825985600

2825985600 is an abundant number, since it is smaller than the sum of its proper divisors (7240958833).

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

2825985600 is an equidigital number, since it uses as much as digits as its factorization.

2825985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The cubic root of 2825985600 is about 1413.8065244399.

The spelling of 2825985600 in words is "two billion, eight hundred twenty-five million, nine hundred eighty-five thousand, six hundred".