2896900 has 36 divisors (see below), whose sum is σ = 6405840. Its totient is φ = 1136800.

The previous prime is 2896877. The next prime is 2896903. The reversal of 2896900 is 96982.

It is a super-2 number, since 2×2896900² = 16784059220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2896903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5655 + ... + 6145.

It is an arithmetic number, because the mean of its divisors is an integer number (177940).

2^2896900 is an apocalyptic number.

2896900 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 2896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202920).

2896900 is an abundant number, since it is smaller than the sum of its proper divisors (3508940).

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

2896900 is a wasteful number, since it uses less digits than its factorization.

2896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2896900 is about 1702.0282018815. The cubic root of 2896900 is about 142.5534835660.

The spelling of 2896900 in words is "two million, eight hundred ninety-six thousand, nine hundred".