2001460 has 48 divisors (see below), whose sum is σ = 4636800. Its totient is φ = 722304.

The previous prime is 2001451. The next prime is 2001463. The reversal of 2001460 is 641002.

2001460 = T₁ + T₂ + ... + T₂₂₈.

2001460 is a nontrivial binomial coefficient, being equal to C(230, 3).

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 2001460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001463) by changing a digit.

It is the 228-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8626 + ... + 8854.

It is an arithmetic number, because the mean of its divisors is an integer number (96600).

2^2001460 is an apocalyptic number.

2001460 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 2001460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318400).

2001460 is an abundant number, since it is smaller than the sum of its proper divisors (2635340).

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

2001460 is a wasteful number, since it uses less digits than its factorization.

2001460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2001460 is about 1414.7296561534. The cubic root of 2001460 is about 126.0227556113.

Adding to 2001460 its reverse (641002), we get a palindrome (2642462).

The spelling of 2001460 in words is "two million, one thousand, four hundred sixty".