2042400 has 144 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 506880.

The previous prime is 2042399. The next prime is 2042401. The reversal of 2042400 is 42402.

2042400 is nontrivially palindromic in base 9.

2042400 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2042399) and next prime (2042401).

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 not an unprimeable number, because it can be changed into a prime (2042401) 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, 55182 + ... + 55218.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2^2042400 is an apocalyptic number.

2042400 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 2042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2042400 is an abundant number, since it is smaller than the sum of its proper divisors (5082144).

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

2042400 is a wasteful number, since it uses less digits than its factorization.

2042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

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

The square root of 2042400 is about 1429.1256067960. The cubic root of 2042400 is about 126.8762305041.

Adding to 2042400 its reverse (42402), we get a palindrome (2084802).

It can be divided in two parts, 2042 and 400, that added together give a palindrome (2442).

The spelling of 2042400 in words is "two million, forty-two thousand, four hundred".