2566121472 has 240 divisors, whose sum is σ = 7927920000. Its totient is φ = 826122240.

The previous prime is 2566121429. The next prime is 2566121473. The reversal of 2566121472 is 2741216652.

It is a happy number.

2566121472 is a `hidden beast` number, since 2 + 5 + 66 + 121 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2566121473) 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 19 ways as a sum of consecutive naturals, for example, 5142279 + ... + 5142777.

It is an arithmetic number, because the mean of its divisors is an integer number (33033000).

Almost surely, 2^2566121472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963960000).

2566121472 is an abundant number, since it is smaller than the sum of its proper divisors (5361798528).

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

2566121472 is an equidigital number, since it uses as much as digits as its factorization.

2566121472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 535 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2566121472 is about 50656.8995498145. The cubic root of 2566121472 is about 1369.0702612573.

The spelling of 2566121472 in words is "two billion, five hundred sixty-six million, one hundred twenty-one thousand, four hundred seventy-two".