2896200 has 72 divisors (see below), whose sum is σ = 9732450. Its totient is φ = 771840.

The previous prime is 2896147. The next prime is 2896207. The reversal of 2896200 is 26982.

It can be written as a sum of positive squares in 3 ways, for example, as 2762244 + 133956 = 1662^2 + 366^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2896207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 996 + ... + 2604.

2^2896200 is an apocalyptic number.

2896200 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 2896200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866225).

2896200 is an abundant number, since it is smaller than the sum of its proper divisors (6836250).

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

2896200 is a wasteful number, since it uses less digits than its factorization.

2896200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2896200 is about 1701.8225524419. The cubic root of 2896200 is about 142.5420005466.

The spelling of 2896200 in words is "two million, eight hundred ninety-six thousand, two hundred".