2124864 has 168 divisors, whose sum is σ = 7607808. Its totient is φ = 552960.

The previous prime is 2124853. The next prime is 2124869. The reversal of 2124864 is 4684212.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2124869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68529 + ... + 68559.

2^2124864 is an apocalyptic number.

2124864 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 2124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803904).

2124864 is an abundant number, since it is smaller than the sum of its proper divisors (5482944).

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

2124864 is a wasteful number, since it uses less digits than its factorization.

2124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2124864 is about 1457.6913253498. The cubic root of 2124864 is about 128.5613367740.

Adding to 2124864 its sum of digits (27), we get a triangular number (2124891 = T₂₀₆₁).

It can be divided in two parts, 21248 and 64, that added together give a palindrome (21312).

The spelling of 2124864 in words is "two million, one hundred twenty-four thousand, eight hundred sixty-four".