2567861017428 has 192 divisors, whose sum is σ = 7512452075520. Its totient is φ = 666004604928.

The previous prime is 2567861017417. The next prime is 2567861017429. The reversal of 2567861017428 is 8247101687652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567861017429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4177825 + ... + 4752887.

It is an arithmetic number, because the mean of its divisors is an integer number (39127354560).

Almost surely, 2^{2567861017428} is an apocalyptic number.

2567861017428 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 2567861017428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756226037760).

2567861017428 is an abundant number, since it is smaller than the sum of its proper divisors (4944591058092).

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

2567861017428 is a wasteful number, since it uses less digits than its factorization.

2567861017428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575206 (or 575204 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 2567861017428 in words is "two trillion, five hundred sixty-seven billion, eight hundred sixty-one million, seventeen thousand, four hundred twenty-eight".