2830464 has 192 divisors, whose sum is σ = 10395840. Its totient is φ = 746496.

The previous prime is 2830439. The next prime is 2830469. The reversal of 2830464 is 4640382.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217722 + ... + 217734.

It is an arithmetic number, because the mean of its divisors is an integer number (54145).

2^2830464 is an apocalyptic number.

2830464 is a gapful number since it is divisible by the number (24) 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 2830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197920).

2830464 is an abundant number, since it is smaller than the sum of its proper divisors (7565376).

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

2830464 is an equidigital number, since it uses as much as digits as its factorization.

2830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2830464 is about 1682.3982881589. The cubic root of 2830464 is about 141.4552960123.

The spelling of 2830464 in words is "two million, eight hundred thirty thousand, four hundred sixty-four".