2601600 has 96 divisors (see below), whose sum is σ = 8600640. Its totient is φ = 691200.

The previous prime is 2601583. The next prime is 2601601. The reversal of 2601600 is 61062.

It is a tau number, because it is divible by the number of its divisors (96).

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 2601600.

It is not an unprimeable number, because it can be changed into a prime (2601601) 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, 9465 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (89590).

2^2601600 is an apocalyptic number.

2601600 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 2601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300320).

2601600 is an abundant number, since it is smaller than the sum of its proper divisors (5999040).

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

2601600 is a wasteful number, since it uses less digits than its factorization.

2601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2601600 is about 1612.9476122925. The cubic root of 2601600 is about 137.5350874643.

Adding to 2601600 its reverse (61062), we get a palindrome (2662662).

The spelling of 2601600 in words is "two million, six hundred one thousand, six hundred".