2813360 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 971520.

The previous prime is 2813353. The next prime is 2813401. The reversal of 2813360 is 633182.

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 (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20171 + ... + 20309.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2813360 is an apocalyptic number.

2813360 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 2813360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2813360 is an abundant number, since it is smaller than the sum of its proper divisors (4686160).

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

2813360 is a wasteful number, since it uses less digits than its factorization.

2813360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2813360 is about 1677.3073659887. The cubic root of 2813360 is about 141.1697902612.

The spelling of 2813360 in words is "two million, eight hundred thirteen thousand, three hundred sixty".