2556480419 has 16 divisors (see below), whose sum is σ = 2762580480. Its totient is φ = 2357903520.

The previous prime is 2556480401. The next prime is 2556480439. The reversal of 2556480419 is 9140846552.

It is a cyclic number.

It is not a de Polignac number, because 2556480419 - 2⁸ = 2556480163 is a prime.

It is a super-2 number, since 2×2556480419² = 13071184265460831122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2556480419.

It is not an unprimeable number, because it can be changed into a prime (2556480439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254054 + ... + 263924.

It is an arithmetic number, because the mean of its divisors is an integer number (172661280).

Almost surely, 2^2556480419 is an apocalyptic number.

2556480419 is a deficient number, since it is larger than the sum of its proper divisors (206100061).

2556480419 is a wasteful number, since it uses less digits than its factorization.

2556480419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250.

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 2556480419 is about 50561.6496862988. The cubic root of 2556480419 is about 1367.3535532720.

The spelling of 2556480419 in words is "two billion, five hundred fifty-six million, four hundred eighty thousand, four hundred nineteen".