2556414721 has 27 divisors (see below), whose sum is σ = 3086056323. Its totient is φ = 2111427360.

The previous prime is 2556414719. The next prime is 2556414733. The reversal of 2556414721 is 1274146552.

The square root of 2556414721 is 50561.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 519156225 + 2037258496 = 22785^2 + 45136^2 .

It is not a de Polignac number, because 2556414721 - 2¹ = 2556414719 is a prime.

It is a super-3 number, since 3×2556414721³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2556414761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10971621 + ... + 10971853.

Almost surely, 2^2556414721 is an apocalyptic number.

2556414721 is the 50561-st square number.

2556414721 is the 25281-st centered octagonal number.

It is an amenable number.

2556414721 is a deficient number, since it is larger than the sum of its proper divisors (529641602).

2556414721 is an frugal number, since it uses more digits than its factorization.

2556414721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The cubic root of 2556414721 is about 1367.3418401419.

The spelling of 2556414721 in words is "two billion, five hundred fifty-six million, four hundred fourteen thousand, seven hundred twenty-one".