2004541862400 has 3600 divisors, whose sum is σ = 10015835097312. Its totient is φ = 390168576000.

The previous prime is 2004541862399. The next prime is 2004541862429. The reversal of 2004541862400 is 42681454002.

2004541862400 is a `hidden beast` number, since 2 + 0 + 0 + 454 + 186 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×2004541862400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9500198295 + ... + 9500198505.

Almost surely, 2^{2004541862400} is an apocalyptic number.

2004541862400 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 2004541862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007917548656).

2004541862400 is an abundant number, since it is smaller than the sum of its proper divisors (8011293234912).

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

2004541862400 is a wasteful number, since it uses less digits than its factorization.

2004541862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2004541862400 in words is "two trillion, four billion, five hundred forty-one million, eight hundred sixty-two thousand, four hundred".