2005333334400 has 192 divisors, whose sum is σ = 7205527656000. Its totient is φ = 486141388800.

The previous prime is 2005333334363. The next prime is 2005333334401. The reversal of 2005333334400 is 44333335002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005333334401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9389350 + ... + 9600549.

It is an arithmetic number, because the mean of its divisors is an integer number (37528789875).

Almost surely, 2^{2005333334400} is an apocalyptic number.

2005333334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005333334400 is an abundant number, since it is smaller than the sum of its proper divisors (5200194321600).

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

2005333334400 is a wasteful number, since it uses less digits than its factorization.

2005333334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18989937 (or 18989920 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

Adding to 2005333334400 its reverse (44333335002), we get a palindrome (2049666669402).

The spelling of 2005333334400 in words is "two trillion, five billion, three hundred thirty-three million, three hundred thirty-four thousand, four hundred".