2566121140 has 96 divisors (see below), whose sum is σ = 6051749760. Its totient is φ = 906048000.

The previous prime is 2566121123. The next prime is 2566121147. The reversal of 2566121140 is 411216652.

It is a junction number, because it is equal to n+sod(n) for n = 2566121099 and 2566121108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566121147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176571 + ... + 1178749.

It is an arithmetic number, because the mean of its divisors is an integer number (63039060).

Almost surely, 2^2566121140 is an apocalyptic number.

2566121140 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 2566121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025874880).

2566121140 is an abundant number, since it is smaller than the sum of its proper divisors (3485628620).

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

2566121140 is a wasteful number, since it uses less digits than its factorization.

2566121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2566121140 is about 50656.8962728669. The cubic root of 2566121140 is about 1369.0702022147.

Adding to 2566121140 its reverse (411216652), we get a palindrome (2977337792).

It can be divided in two parts, 256612 and 1140, that added together give a palindrome (257752).

The spelling of 2566121140 in words is "two billion, five hundred sixty-six million, one hundred twenty-one thousand, one hundred forty".