2005152019200 has 2592 divisors, whose sum is σ = 8856766464000. Its totient is φ = 443418624000.

The previous prime is 2005152019151. The next prime is 2005152019249. The reversal of 2005152019200 is 29102515002.

2005152019200 is a `hidden beast` number, since 2 + 0 + 0 + 51 + 520 + 1 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2005152019151) and next prime (2005152019249).

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 10076140701 + ... + 10076140899.

Almost surely, 2^{2005152019200} is an apocalyptic number.

2005152019200 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 2005152019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428383232000).

2005152019200 is an abundant number, since it is smaller than the sum of its proper divisors (6851614444800).

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

2005152019200 is a wasteful number, since it uses less digits than its factorization.

2005152019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 2005152019200 in words is "two trillion, five billion, one hundred fifty-two million, nineteen thousand, two hundred".