2896640 has 72 divisors (see below), whose sum is σ = 7260288. Its totient is φ = 1105920.

The previous prime is 2896639. The next prime is 2896651. The reversal of 2896640 is 466982.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2896640.

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 7 ways as a sum of consecutive naturals, for example, 39644 + ... + 39716.

2^2896640 is an apocalyptic number.

2896640 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 2896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630144).

2896640 is an abundant number, since it is smaller than the sum of its proper divisors (4363648).

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

2896640 is an equidigital number, since it uses as much as digits as its factorization.

2896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2896640 is about 1701.9518207047. The cubic root of 2896640 is about 142.5492186605.

The spelling of 2896640 in words is "two million, eight hundred ninety-six thousand, six hundred forty".