2041112400 has 120 divisors (see below), whose sum is σ = 6715221984. Its totient is φ = 529574400.

The previous prime is 2041112393. The next prime is 2041112431. The reversal of 2041112400 is 42111402.

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

It is a super-2 number, since 2×2041112400² = 8332279658867520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2041112400.

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, 21415 + ... + 67385.

Almost surely, 2^2041112400 is an apocalyptic number.

2041112400 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 2041112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357610992).

2041112400 is an abundant number, since it is smaller than the sum of its proper divisors (4674109584).

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

2041112400 is a wasteful number, since it uses less digits than its factorization.

2041112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46029 (or 46018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2041112400 is about 45178.6719592332. The cubic root of 2041112400 is about 1268.4956250286.

Adding to 2041112400 its reverse (42111402), we get a palindrome (2083223802).

The spelling of 2041112400 in words is "two billion, forty-one million, one hundred twelve thousand, four hundred".