2001000031410 has 256 divisors, whose sum is σ = 5155750268928. Its totient is φ = 496112947200.

The previous prime is 2001000031409. The next prime is 2001000031423. The reversal of 2001000031410 is 141300001002.

It is a happy number.

It is a super-2 number, since 2×2001000031410² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 934608940 + ... + 934611080.

It is an arithmetic number, because the mean of its divisors is an integer number (20139649488).

Almost surely, 2^{2001000031410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001000031410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577875134464).

2001000031410 is an abundant number, since it is smaller than the sum of its proper divisors (3154750237518).

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

2001000031410 is a wasteful number, since it uses less digits than its factorization.

2001000031410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2001000031410 its reverse (141300001002), we get a palindrome (2142300032412).

The spelling of 2001000031410 in words is "two trillion, one billion, thirty-one thousand, four hundred ten".