2001400 has 24 divisors (see below), whose sum is σ = 4653720. Its totient is φ = 800480.

The previous prime is 2001397. The next prime is 2001407. The reversal of 2001400 is 41002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4804 + ... + 5203.

It is an arithmetic number, because the mean of its divisors is an integer number (193905).

2^2001400 is an apocalyptic number.

2001400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001400 is an abundant number, since it is smaller than the sum of its proper divisors (2652320).

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

2001400 is a wasteful number, since it uses less digits than its factorization.

2001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2001400 is about 1414.7084505296. The cubic root of 2001400 is about 126.0214962904.

Adding to 2001400 its reverse (41002), we get a palindrome (2042402).

It can be divided in two parts, 2001 and 400, that added together give a 4-th power (2401 = 7⁴).

The spelling of 2001400 in words is "two million, one thousand, four hundred".