2001036400 has 120 divisors (see below), whose sum is σ = 5266341504. Its totient is φ = 724627200.

The previous prime is 2001036383. The next prime is 2001036419. The reversal of 2001036400 is 46301002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244397 + ... + 1246003.

Almost surely, 2^2001036400 is an apocalyptic number.

2001036400 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 2001036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633170752).

2001036400 is an abundant number, since it is smaller than the sum of its proper divisors (3265305104).

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

2001036400 is a wasteful number, since it uses less digits than its factorization.

2001036400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2001036400 is about 44732.9453535087. The cubic root of 2001036400 is about 1260.1386426764.

Adding to 2001036400 its reverse (46301002), we get a palindrome (2047337402).

The spelling of 2001036400 in words is "two billion, one million, thirty-six thousand, four hundred".