2001440400 has 60 divisors (see below), whose sum is σ = 6411284592. Its totient is φ = 533717120.

The previous prime is 2001440393. The next prime is 2001440407. The reversal of 2001440400 is 40441002.

2001440400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2001440393) and next prime (2001440407).

It is a tau number, because it is divible by the number of its divisors (60).

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 2001440400.

It is not an unprimeable number, because it can be changed into a prime (2001440407) 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, 832734 + ... + 835133.

Almost surely, 2^2001440400 is an apocalyptic number.

2001440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001440400 is an abundant number, since it is smaller than the sum of its proper divisors (4409844192).

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

2001440400 is a wasteful number, since it uses less digits than its factorization.

2001440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667888 (or 1667877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2001440400 is about 44737.4608130591. The cubic root of 2001440400 is about 1260.2234423588.

Adding to 2001440400 its reverse (40441002), we get a palindrome (2041881402).

The spelling of 2001440400 in words is "two billion, one million, four hundred forty thousand, four hundred".