2567255040 has 528 divisors, whose sum is σ = 10641124800. Its totient is φ = 585252864.

The previous prime is 2567255029. The next prime is 2567255071. The reversal of 2567255040 is 405527652.

2567255040 is a `hidden beast` number, since 2 + 5 + 67 + 2 + 550 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2567254986 and 2567255004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773571 + ... + 6773949.

Almost surely, 2^2567255040 is an apocalyptic number.

2567255040 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 2567255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320562400).

2567255040 is an abundant number, since it is smaller than the sum of its proper divisors (8073869760).

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

2567255040 is a wasteful number, since it uses less digits than its factorization.

2567255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2567255040 is about 50668.0869976359. The cubic root of 2567255040 is about 1369.2718243025.

The spelling of 2567255040 in words is "two billion, five hundred sixty-seven million, two hundred fifty-five thousand, forty".