26442240 has 160 divisors (see below), whose sum is σ = 92511936. Its totient is φ = 6389760.

The previous prime is 26442211. The next prime is 26442257. The reversal of 26442240 is 4224462.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26442240.

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, 84324 + ... + 84636.

Almost surely, 2^26442240 is an apocalyptic number.

26442240 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 26442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46255968).

26442240 is an abundant number, since it is smaller than the sum of its proper divisors (66069696).

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

26442240 is a wasteful number, since it uses less digits than its factorization.

26442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 26442240 is about 5142.2018630155. The cubic root of 26442240 is about 297.9198318951.

It can be divided in two parts, 264422 and 40, that added together give a palindrome (264462).

The spelling of 26442240 in words is "twenty-six million, four hundred forty-two thousand, two hundred forty".