2556446552 has 32 divisors (see below), whose sum is σ = 5280886800. Its totient is φ = 1150512000.

The previous prime is 2556446551. The next prime is 2556446569.

2556446552 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556446551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134927 + ... + 152702.

Almost surely, 2^2556446552 is an apocalyptic number.

2556446552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2556446552 is an abundant number, since it is smaller than the sum of its proper divisors (2724440248).

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

2556446552 is a wasteful number, since it uses less digits than its factorization.

2556446552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287747 (or 287743 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The square root of 2556446552 is about 50561.3147772089. The cubic root of 2556446552 is about 1367.3475152354.

The spelling of 2556446552 in words is "two billion, five hundred fifty-six million, four hundred forty-six thousand, five hundred fifty-two".