2567780628 has 192 divisors, whose sum is σ = 7369850880. Its totient is φ = 680093568.

The previous prime is 2567780617. The next prime is 2567780629. The reversal of 2567780628 is 8260877652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567780629) 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 63 ways as a sum of consecutive naturals, for example, 10743733 + ... + 10743971.

It is an arithmetic number, because the mean of its divisors is an integer number (38384640).

Almost surely, 2^2567780628 is an apocalyptic number.

2567780628 is a gapful number since it is divisible by the number (28) 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 2567780628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684925440).

2567780628 is an abundant number, since it is smaller than the sum of its proper divisors (4802070252).

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

2567780628 is a wasteful number, since it uses less digits than its factorization.

2567780628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The square root of 2567780628 is about 50673.2733104938. The cubic root of 2567780628 is about 1369.3652605112.

The spelling of 2567780628 in words is "two billion, five hundred sixty-seven million, seven hundred eighty thousand, six hundred twenty-eight".