2005001511400 has 48 divisors (see below), whose sum is σ = 4662386549100. Its totient is φ = 801870190080.

The previous prime is 2005001511377. The next prime is 2005001511421. The reversal of 2005001511400 is 41151005002.

It can be written as a sum of positive squares in 6 ways, for example, as 416791612836 + 1588209898564 = 645594^2 + 1260242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422596 + ... + 2046604.

Almost surely, 2^{2005001511400} is an apocalyptic number.

2005001511400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005001511400 is an abundant number, since it is smaller than the sum of its proper divisors (2657385037700).

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

2005001511400 is a wasteful number, since it uses less digits than its factorization.

2005001511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630198 (or 1630189 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 2005001511400 its reverse (41151005002), we get a palindrome (2046152516402).

The spelling of 2005001511400 in words is "two trillion, five billion, one million, five hundred eleven thousand, four hundred".