2599968 has 96 divisors (see below), whose sum is σ = 8055936. Its totient is φ = 718848.

The previous prime is 2599931. The next prime is 2599973. The reversal of 2599968 is 8699952.

2599968 is nontrivially palindromic in base 15.

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35580 + ... + 35652.

It is an arithmetic number, because the mean of its divisors is an integer number (83916).

2^2599968 is an apocalyptic number.

2599968 is a gapful number since it is divisible by the number (28) 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 2599968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027968).

2599968 is an abundant number, since it is smaller than the sum of its proper divisors (5455968).

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

2599968 is a wasteful number, since it uses less digits than its factorization.

2599968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 2599968 is about 1612.4416268504. The cubic root of 2599968 is about 137.5063225743.

The spelling of 2599968 in words is "two million, five hundred ninety-nine thousand, nine hundred sixty-eight".