2567406240 has 384 divisors, whose sum is σ = 10450944000. Its totient is φ = 576488448.

The previous prime is 2567406223. The next prime is 2567406253. The reversal of 2567406240 is 426047652.

2567406240 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 406 + 240 = 666.

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 = 2567406195 and 2567406204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1783441 + ... + 1784879.

It is an arithmetic number, because the mean of its divisors is an integer number (27216000).

Almost surely, 2^2567406240 is an apocalyptic number.

2567406240 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 2567406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472000).

2567406240 is an abundant number, since it is smaller than the sum of its proper divisors (7883537760).

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

2567406240 is a wasteful number, since it uses less digits than its factorization.

2567406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2567406240 is about 50669.5790391039. The cubic root of 2567406240 is about 1369.2987051321.

The spelling of 2567406240 in words is "two billion, five hundred sixty-seven million, four hundred six thousand, two hundred forty".