2041142400 has 576 divisors, whose sum is σ = 8434951200. Its totient is φ = 464486400.

The previous prime is 2041142381. The next prime is 2041142423. The reversal of 2041142400 is 42411402.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5385411 + ... + 5385789.

Almost surely, 2^2041142400 is an apocalyptic number.

2041142400 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 2041142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217475600).

2041142400 is an abundant number, since it is smaller than the sum of its proper divisors (6393808800).

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

2041142400 is a wasteful number, since it uses less digits than its factorization.

2041142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2041142400 is about 45179.0039730847. The cubic root of 2041142400 is about 1268.5018397251.

Adding to 2041142400 its reverse (42411402), we get a palindrome (2083553802).

It can be divided in two parts, 2041 and 142400, that added together give a palindrome (144441).

The spelling of 2041142400 in words is "two billion, forty-one million, one hundred forty-two thousand, four hundred".