2005340251104 has 192 divisors, whose sum is σ = 5866372512000. Its totient is φ = 666454141440.

The previous prime is 2005340251073. The next prime is 2005340251121. The reversal of 2005340251104 is 4011520435002.

2005340251104 is a `hidden beast` number, since 2 + 0 + 0 + 534 + 0 + 25 + 1 + 104 = 666.

It is a super-3 number, since 3×2005340251104³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502715542 + ... + 502719530.

It is an arithmetic number, because the mean of its divisors is an integer number (30554023500).

Almost surely, 2^{2005340251104} is an apocalyptic number.

2005340251104 is a gapful number since it is divisible by the number (24) 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 2005340251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933186256000).

2005340251104 is an abundant number, since it is smaller than the sum of its proper divisors (3861032260896).

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

2005340251104 is a wasteful number, since it uses less digits than its factorization.

2005340251104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2005340251104 its reverse (4011520435002), we get a palindrome (6016860686106).

The spelling of 2005340251104 in words is "two trillion, five billion, three hundred forty million, two hundred fifty-one thousand, one hundred four".