2030400 has 168 divisors, whose sum is σ = 7559040. Its totient is φ = 529920.

The previous prime is 2030393. The next prime is 2030411. The reversal of 2030400 is 40302.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

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, 43177 + ... + 43223.

2^2030400 is an apocalyptic number.

2030400 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 2030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779520).

2030400 is an abundant number, since it is smaller than the sum of its proper divisors (5528640).

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

2030400 is a wasteful number, since it uses less digits than its factorization.

2030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2030400 is about 1424.9210504446. The cubic root of 2030400 is about 126.6272576694.

Adding to 2030400 its reverse (40302), we get a palindrome (2070702).

The spelling of 2030400 in words is "two million, thirty thousand, four hundred".