2896080 has 80 divisors (see below), whose sum is σ = 9802944. Its totient is φ = 701440.

The previous prime is 2896073. The next prime is 2896087. The reversal of 2896080 is 806982.

It is an interprime number because it is at equal distance from previous prime (2896073) and next prime (2896087).

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2092 + ... + 3188.

2^2896080 is an apocalyptic number.

2896080 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 2896080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901472).

2896080 is an abundant number, since it is smaller than the sum of its proper divisors (6906864).

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

2896080 is a wasteful number, since it uses less digits than its factorization.

2896080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2896080 is about 1701.7872957570. The cubic root of 2896080 is about 142.5400318432.

The spelling of 2896080 in words is "two million, eight hundred ninety-six thousand, eighty".