2000110400 has 42 divisors (see below), whose sum is σ = 4921525590. Its totient is φ = 800043520.

The previous prime is 2000110397. The next prime is 2000110417. The reversal of 2000110400 is 40110002.

It can be written as a sum of positive squares in 3 ways, for example, as 8809024 + 1991301376 = 2968^2 + 44624^2 .

It is a super-2 number, since 2×2000110400² = 8000883224376320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 623435 + ... + 626634.

Almost surely, 2^2000110400 is an apocalyptic number.

2000110400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000110400 is an abundant number, since it is smaller than the sum of its proper divisors (2921415190).

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

2000110400 is a wasteful number, since it uses less digits than its factorization.

2000110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250091 (or 1250076 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2000110400 is about 44722.5938424864. The cubic root of 2000110400 is about 1259.9442320156.

Adding to 2000110400 its reverse (40110002), we get a palindrome (2040220402).

The spelling of 2000110400 in words is "two billion, one hundred ten thousand, four hundred".