2556674016 has 96 divisors (see below), whose sum is σ = 7275921408. Its totient is φ = 781401600.

The previous prime is 2556674009. The next prime is 2556674027. The reversal of 2556674016 is 6104766552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181665 + ... + 195231.

It is an arithmetic number, because the mean of its divisors is an integer number (75790848).

Almost surely, 2^2556674016 is an apocalyptic number.

2556674016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637960704).

2556674016 is an abundant number, since it is smaller than the sum of its proper divisors (4719247392).

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

2556674016 is a wasteful number, since it uses less digits than its factorization.

2556674016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13744 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2556674016 is about 50563.5641148841. The cubic root of 2556674016 is about 1367.3880680242.

The spelling of 2556674016 in words is "two billion, five hundred fifty-six million, six hundred seventy-four thousand, sixteen".