2553872 has 10 divisors (see below), whose sum is σ = 4948158. Its totient is φ = 1276928.

The previous prime is 2553871. The next prime is 2553907. The reversal of 2553872 is 2783552.

It can be written as a sum of positive squares in only one way, i.e., 1290496 + 1263376 = 1136^2 + 1124^2 .

It is a d-powerful number, because it can be written as 2¹⁶ + 5³ + 5⁸ + 3³ + 8² + 7³ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2553871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 79793 + ... + 79824.

2^2553872 is an apocalyptic number.

It is an amenable number.

2553872 is a deficient number, since it is larger than the sum of its proper divisors (2394286).

2553872 is a wasteful number, since it uses less digits than its factorization.

2553872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159625 (or 159619 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 2553872 is about 1598.0838526185. The cubic root of 2553872 is about 136.6888350582.

It can be divided in two parts, 25538 and 72, that multiplied together give a square (1838736 = 1356²).

The spelling of 2553872 in words is "two million, five hundred fifty-three thousand, eight hundred seventy-two".