2041430400 has 288 divisors, whose sum is σ = 7391680920. Its totient is φ = 536371200.

The previous prime is 2041430399. The next prime is 2041430407. The reversal of 2041430400 is 40341402.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041430407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2101915 + ... + 2102885.

Almost surely, 2^2041430400 is an apocalyptic number.

2041430400 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 2041430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695840460).

2041430400 is an abundant number, since it is smaller than the sum of its proper divisors (5350250520).

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

2041430400 is a wasteful number, since it uses less digits than its factorization.

2041430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2041430400 is about 45182.1911819248. The cubic root of 2041430400 is about 1268.5614977135.

Adding to 2041430400 its reverse (40341402), we get a palindrome (2081771802).

The spelling of 2041430400 in words is "two billion, forty-one million, four hundred thirty thousand, four hundred".