2897840 has 80 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 1013760.

The previous prime is 2897833. The next prime is 2897887. The reversal of 2897840 is 487982.

2897840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2897794 and 2897803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32516 + ... + 32604.

It is an arithmetic number, because the mean of its divisors is an integer number (95418).

2^2897840 is an apocalyptic number.

2897840 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 2897840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816720).

2897840 is an abundant number, since it is smaller than the sum of its proper divisors (4735600).

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

2897840 is a wasteful number, since it uses less digits than its factorization.

2897840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 2897840 is about 1702.3043206196. The cubic root of 2897840 is about 142.5689007112.

The spelling of 2897840 in words is "two million, eight hundred ninety-seven thousand, eight hundred forty".