2001214400 has 84 divisors (see below), whose sum is σ = 4933218480. Its totient is φ = 799027200.

The previous prime is 2001214351. The next prime is 2001214417. The reversal of 2001214400 is 44121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1469720 + ... + 1471080.

Almost surely, 2^2001214400 is an apocalyptic number.

2001214400 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 2001214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466609240).

2001214400 is an abundant number, since it is smaller than the sum of its proper divisors (2932004080).

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

2001214400 is a wasteful number, since it uses less digits than its factorization.

2001214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2001214400 is about 44734.9348943306. The cubic root of 2001214400 is about 1260.1760063192.

Adding to 2001214400 its reverse (44121002), we get a palindrome (2045335402).

The spelling of 2001214400 in words is "two billion, one million, two hundred fourteen thousand, four hundred".