2821600 has 36 divisors (see below), whose sum is σ = 6890184. Its totient is φ = 1128320.

The previous prime is 2821591. The next prime is 2821601. The reversal of 2821600 is 61282.

It is a happy number.

It is a super-2 number, since 2×2821600² = 15922853120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821601) 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, 964 + ... + 2563.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

2^2821600 is an apocalyptic number.

2821600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2821600 is an abundant number, since it is smaller than the sum of its proper divisors (4068584).

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

2821600 is a wasteful number, since it uses less digits than its factorization.

2821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2821600 is about 1679.7618878877. The cubic root of 2821600 is about 141.3074791519.

Adding to 2821600 its reverse (61282), we get a palindrome (2882882).

The spelling of 2821600 in words is "two million, eight hundred twenty-one thousand, six hundred".