2556551970 has 336 divisors, whose sum is σ = 8518291128. Its totient is φ = 548674560.

The previous prime is 2556551939. The next prime is 2556551993. The reversal of 2556551970 is 791556552.

2556551970 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 551 + 97 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1560329001 + 996222969 = 39501^2 + 31563^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 6072360 + ... + 6072780.

Almost surely, 2^2556551970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556551970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259145564).

2556551970 is an abundant number, since it is smaller than the sum of its proper divisors (5961739158).

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

2556551970 is a wasteful number, since it uses less digits than its factorization.

2556551970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The square root of 2556551970 is about 50562.3572433090. The cubic root of 2556551970 is about 1367.3663096904.

The spelling of 2556551970 in words is "two billion, five hundred fifty-six million, five hundred fifty-one thousand, nine hundred seventy".