2914080 has 96 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 715776.

The previous prime is 2914033. The next prime is 2914081. The reversal of 2914080 is 804192.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2914080.

It is not an unprimeable number, because it can be changed into a prime (2914081) 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, 6007 + ... + 6473.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

2^2914080 is an apocalyptic number.

2914080 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 2914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

2914080 is an abundant number, since it is smaller than the sum of its proper divisors (6992544).

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

2914080 is a wasteful number, since it uses less digits than its factorization.

2914080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2914080 is about 1707.0676612249. The cubic root of 2914080 is about 142.8347317225.

It can be divided in two parts, 291 and 4080, that added together give a triangular number (4371 = T₉₃).

The spelling of 2914080 in words is "two million, nine hundred fourteen thousand, eighty".