2551168 has 32 divisors (see below), whose sum is σ = 5355000. Its totient is φ = 1207296.

The previous prime is 2551127. The next prime is 2551169. The reversal of 2551168 is 8611552.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1908 + ... + 2956.

2^2551168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677500).

2551168 is an abundant number, since it is smaller than the sum of its proper divisors (2803832).

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

2551168 is a wasteful number, since it uses less digits than its factorization.

2551168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1070 counting only the distinct ones).

The product of its digits is 2400, while the sum is 28.

The square root of 2551168 is about 1597.2376153848. The cubic root of 2551168 is about 136.6405766840.

It can be divided in two parts, 25 and 51168, that multiplied together give a triangular number (1279200 = T₁₅₉₉).

The spelling of 2551168 in words is "two million, five hundred fifty-one thousand, one hundred sixty-eight".