2924160 has 64 divisors (see below), whose sum is σ = 9326880. Its totient is φ = 779264.

The previous prime is 2924111. The next prime is 2924167. The reversal of 2924160 is 614292.

2924160 = 566² + 567² + ... + 574².

It is a tau number, because it is divible by the number of its divisors (64).

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 2924160.

It is not an unprimeable number, because it can be changed into a prime (2924167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 2681.

2^2924160 is an apocalyptic number.

2924160 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 2924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663440).

2924160 is an abundant number, since it is smaller than the sum of its proper divisors (6402720).

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

2924160 is a wasteful number, since it uses less digits than its factorization.

2924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2924160 is about 1710.0175437697. The cubic root of 2924160 is about 142.9992338623. Note that the first 3 decimals are identical.

The spelling of 2924160 in words is "two million, nine hundred twenty-four thousand, one hundred sixty".