2896400 has 60 divisors (see below), whose sum is σ = 7507332. Its totient is φ = 1067520.

The previous prime is 2896393. The next prime is 2896403. The reversal of 2896400 is 46982.

It can be written as a sum of positive squares in 6 ways, for example, as 868624 + 2027776 = 932^2 + 1424^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2896403) 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, 4922 + ... + 5478.

2^2896400 is an apocalyptic number.

2896400 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 2896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753666).

2896400 is an abundant number, since it is smaller than the sum of its proper divisors (4610932).

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

2896400 is a wasteful number, since it uses less digits than its factorization.

2896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2896400 is about 1701.8813119604. The cubic root of 2896400 is about 142.5452815981.

It can be divided in two parts, 289 and 6400, that multiplied together give a square (1849600 = 1360²).

The spelling of 2896400 in words is "two million, eight hundred ninety-six thousand, four hundred".