2001146400 has 324 divisors, whose sum is σ = 7759741626. Its totient is φ = 484915200.

The previous prime is 2001146377. The next prime is 2001146417. The reversal of 2001146400 is 46411002.

2001146400 is a `hidden beast` number, since 20 + 0 + 1 + 1 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1455269904 + 545876496 = 38148^2 + 23364^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870052 + ... + 872348.

Almost surely, 2^2001146400 is an apocalyptic number.

2001146400 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 2001146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879870813).

2001146400 is an abundant number, since it is smaller than the sum of its proper divisors (5758595226).

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

2001146400 is a wasteful number, since it uses less digits than its factorization.

2001146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2001146400 is about 44734.1748554726. The cubic root of 2001146400 is about 1260.1617328295.

Adding to 2001146400 its reverse (46411002), we get a palindrome (2047557402).

The spelling of 2001146400 in words is "two billion, one million, one hundred forty-six thousand, four hundred".