2001350400 has 216 divisors, whose sum is σ = 7548933504. Its totient is φ = 457420800.

The previous prime is 2001350369. The next prime is 2001350401. The reversal of 2001350400 is 40531002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001350400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001350401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126955 + ... + 141845.

Almost surely, 2^2001350400 is an apocalyptic number.

2001350400 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 2001350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774466752).

2001350400 is an abundant number, since it is smaller than the sum of its proper divisors (5547583104).

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

2001350400 is a wasteful number, since it uses less digits than its factorization.

2001350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14927 (or 14908 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2001350400 is about 44736.4549333091. The cubic root of 2001350400 is about 1260.2045523285.

Adding to 2001350400 its reverse (40531002), we get a palindrome (2041881402).

The spelling of 2001350400 in words is "two billion, one million, three hundred fifty thousand, four hundred".