2158464 has 128 divisors (see below), whose sum is σ = 7246080. Its totient is φ = 552960.

The previous prime is 2158459. The next prime is 2158477. The reversal of 2158464 is 4648512.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (7680) is a multiple of the sum of its prime divisors (96).

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, 29532 + ... + 29604.

It is an arithmetic number, because the mean of its divisors is an integer number (56610).

2^2158464 is an apocalyptic number.

2158464 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 2158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623040).

2158464 is an abundant number, since it is smaller than the sum of its proper divisors (5087616).

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

2158464 is a wasteful number, since it uses less digits than its factorization.

2158464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2158464 is about 1469.1711949259. The cubic root of 2158464 is about 129.2354332871.

It can be divided in two parts, 21 and 58464, that added together give a palindrome (58485).

The spelling of 2158464 in words is "two million, one hundred fifty-eight thousand, four hundred sixty-four".