2001402400 has 72 divisors (see below), whose sum is σ = 4914505764. Its totient is φ = 795878400.

The previous prime is 2001402311. The next prime is 2001402407. The reversal of 2001402400 is 42041002.

It can be written as a sum of positive squares in 6 ways, for example, as 643332496 + 1358069904 = 25364^2 + 36852^2 .

It is a super-2 number, since 2×2001402400² = 8011223133451520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001402407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131170 + ... + 145630.

Almost surely, 2^2001402400 is an apocalyptic number.

2001402400 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 2001402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457252882).

2001402400 is an abundant number, since it is smaller than the sum of its proper divisors (2913103364).

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

2001402400 is a wasteful number, since it uses less digits than its factorization.

2001402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14654 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2001402400 is about 44737.0361110344. The cubic root of 2001402400 is about 1260.2154666373.

Adding to 2001402400 its reverse (42041002), we get a palindrome (2043443402).

The spelling of 2001402400 in words is "two billion, one million, four hundred two thousand, four hundred".