2834560 has 64 divisors (see below), whose sum is σ = 7001280. Its totient is φ = 1096704.

The previous prime is 2834551. The next prime is 2834567. The reversal of 2834560 is 654382.

2834560 = 42³ + 43³ + ... + 61³.

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

It is not an unprimeable number, because it can be changed into a prime (2834567) 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, 27469 + ... + 27571.

It is an arithmetic number, because the mean of its divisors is an integer number (109395).

2^2834560 is an apocalyptic number.

2834560 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 2834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500640).

2834560 is an abundant number, since it is smaller than the sum of its proper divisors (4166720).

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

2834560 is a wasteful number, since it uses less digits than its factorization.

2834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2834560 is about 1683.6151579265. The cubic root of 2834560 is about 141.5234970365.

The spelling of 2834560 in words is "two million, eight hundred thirty-four thousand, five hundred sixty".