2894880 has 96 divisors (see below), whose sum is σ = 9422784. Its totient is φ = 746496.

The previous prime is 2894863. The next prime is 2894893. The reversal of 2894880 is 884982.

2894880 = T₁₀₁ + T₁₀₂ + ... + T₂₆₃.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17679 + ... + 17841.

It is an arithmetic number, because the mean of its divisors is an integer number (98154).

2^2894880 is an apocalyptic number.

2894880 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 2894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711392).

2894880 is an abundant number, since it is smaller than the sum of its proper divisors (6527904).

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

2894880 is a wasteful number, since it uses less digits than its factorization.

2894880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2894880 is about 1701.4346887260. The cubic root of 2894880 is about 142.5203418175.

The spelling of 2894880 in words is "two million, eight hundred ninety-four thousand, eight hundred eighty".