2102464 has 84 divisors (see below), whose sum is σ = 5419344. Its totient is φ = 787968.

The previous prime is 2102461. The next prime is 2102467. The reversal of 2102464 is 4642012.

It is an interprime number because it is at equal distance from previous prime (2102461) and next prime (2102467).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2102461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110647 + ... + 110665.

It is an arithmetic number, because the mean of its divisors is an integer number (64516).

2^2102464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709672).

2102464 is an abundant number, since it is smaller than the sum of its proper divisors (3316880).

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

2102464 is a wasteful number, since it uses less digits than its factorization.

2102464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2102464 is about 1449.9875861538. The cubic root of 2102464 is about 128.1079817968.

Adding to 2102464 its reverse (4642012), we get a palindrome (6744476).

The spelling of 2102464 in words is "two million, one hundred two thousand, four hundred sixty-four".