2562651126 has 96 divisors (see below), whose sum is σ = 6533968896. Its totient is φ = 710640000.

The previous prime is 2562651109. The next prime is 2562651127. The reversal of 2562651126 is 6211562652.

2562651126 is a `hidden beast` number, since 2 + 5 + 626 + 5 + 1 + 1 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562651127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088851 + ... + 1091201.

It is an arithmetic number, because the mean of its divisors is an integer number (68062176).

Almost surely, 2^2562651126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2562651126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266984448).

2562651126 is an abundant number, since it is smaller than the sum of its proper divisors (3971317770).

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

2562651126 is a wasteful number, since it uses less digits than its factorization.

2562651126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2615 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2562651126 is about 50622.6345225137. The cubic root of 2562651126 is about 1368.4528195998.

The spelling of 2562651126 in words is "two billion, five hundred sixty-two million, six hundred fifty-one thousand, one hundred twenty-six".