2567234560 has 176 divisors, whose sum is σ = 6815036160. Its totient is φ = 920125440.

The previous prime is 2567234479. The next prime is 2567234561. The reversal of 2567234560 is 654327652.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2567234561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4448992 + ... + 4449568.

Almost surely, 2^2567234560 is an apocalyptic number.

2567234560 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 2567234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407518080).

2567234560 is an abundant number, since it is smaller than the sum of its proper divisors (4247801600).

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

2567234560 is a wasteful number, since it uses less digits than its factorization.

2567234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The square root of 2567234560 is about 50667.8848976351. The cubic root of 2567234560 is about 1369.2681832201.

The spelling of 2567234560 in words is "two billion, five hundred sixty-seven million, two hundred thirty-four thousand, five hundred sixty".