2549664126 has 48 divisors (see below), whose sum is σ = 5817445920. Its totient is φ = 805464000.

The previous prime is 2549664121. The next prime is 2549664127. The reversal of 2549664126 is 6214669452.

2549664126 is a `hidden beast` number, since 2 + 549 + 66 + 41 + 2 + 6 = 666.

It is a super-4 number, since 4×2549664126⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2549664121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16876 + ... + 73376.

It is an arithmetic number, because the mean of its divisors is an integer number (121196790).

Almost surely, 2^2549664126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549664126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908722960).

2549664126 is an abundant number, since it is smaller than the sum of its proper divisors (3267781794).

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

2549664126 is a wasteful number, since it uses less digits than its factorization.

2549664126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56641 (or 56638 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2549664126 is about 50494.1989341350. The cubic root of 2549664126 is about 1366.1372223911.

The spelling of 2549664126 in words is "two billion, five hundred forty-nine million, six hundred sixty-four thousand, one hundred twenty-six".