2441201400 has 288 divisors, whose sum is σ = 9018172800. Its totient is φ = 586886400.

The previous prime is 2441201383. The next prime is 2441201401. The reversal of 2441201400 is 41021442.

2441201400 is a `hidden beast` number, since 24 + 41 + 201 + 400 = 666.

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 (2441201401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2751757 + ... + 2752643.

It is an arithmetic number, because the mean of its divisors is an integer number (31313100).

Almost surely, 2^2441201400 is an apocalyptic number.

2441201400 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 2441201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509086400).

2441201400 is an abundant number, since it is smaller than the sum of its proper divisors (6576971400).

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

2441201400 is a wasteful number, since it uses less digits than its factorization.

2441201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

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

The square root of 2441201400 is about 49408.5154603941. The cubic root of 2441201400 is about 1346.4840195491.

Adding to 2441201400 its reverse (41021442), we get a palindrome (2482222842).

It can be divided in two parts, 2441 and 201400, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 2441201400 in words is "two billion, four hundred forty-one million, two hundred one thousand, four hundred".