2024400 has 120 divisors (see below), whose sum is σ = 7441984. Its totient is φ = 460800.

The previous prime is 2024387. The next prime is 2024413. The reversal of 2024400 is 44202.

It is an interprime number because it is at equal distance from previous prime (2024387) and next prime (2024413).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8280 + ... + 8520.

2^2024400 is an apocalyptic number.

2024400 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 2024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720992).

2024400 is an abundant number, since it is smaller than the sum of its proper divisors (5417584).

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

2024400 is a wasteful number, since it uses less digits than its factorization.

2024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2024400 is about 1422.8141129466. The cubic root of 2024400 is about 126.5024032622.

Adding to 2024400 its reverse (44202), we get a palindrome (2068602).

The spelling of 2024400 in words is "two million, twenty-four thousand, four hundred".