2002464 has 72 divisors (see below), whose sum is σ = 6044220. Its totient is φ = 626688.

The previous prime is 2002459. The next prime is 2002471. The reversal of 2002464 is 4642002.

2002464 is a `hidden beast` number, since 200 + 2 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 291600 = 1308^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4692 + ... + 5100.

2^2002464 is an apocalyptic number.

2002464 is a gapful number since it is divisible by the number (24) 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 2002464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022110).

2002464 is an abundant number, since it is smaller than the sum of its proper divisors (4041756).

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

2002464 is a wasteful number, since it uses less digits than its factorization.

2002464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002464 is about 1415.0844497768. The cubic root of 2002464 is about 126.0438245136.

Adding to 2002464 its reverse (4642002), we get a palindrome (6644466).

The spelling of 2002464 in words is "two million, two thousand, four hundred sixty-four".