2567280240 has 240 divisors, whose sum is σ = 10282341888. Its totient is φ = 561268224.

The previous prime is 2567280203. The next prime is 2567280241. The reversal of 2567280240 is 420827652.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2567280195 and 2567280204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567280241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104847 + ... + 126993.

Almost surely, 2^2567280240 is an apocalyptic number.

2567280240 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 2567280240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141170944).

2567280240 is an abundant number, since it is smaller than the sum of its proper divisors (7715061648).

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

2567280240 is a wasteful number, since it uses less digits than its factorization.

2567280240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22196 (or 22187 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2567280240 is about 50668.3356742650. The cubic root of 2567280240 is about 1369.2763045141.

The spelling of 2567280240 in words is "two billion, five hundred sixty-seven million, two hundred eighty thousand, two hundred forty".