2896000 has 64 divisors (see below), whose sum is σ = 7239960. Its totient is φ = 1152000.

The previous prime is 2895979. The next prime is 2896013. The reversal of 2896000 is 6982.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 2742336 = 392^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15910 + ... + 16090.

2^2896000 is an apocalyptic number.

2896000 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 2896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619980).

2896000 is an abundant number, since it is smaller than the sum of its proper divisors (4343960).

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

2896000 is an equidigital number, since it uses as much as digits as its factorization.

2896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2896000 is about 1701.7637908946. The cubic root of 2896000 is about 142.5387193440.

The spelling of 2896000 in words is "two million, eight hundred ninety-six thousand".