2553672 has 64 divisors (see below), whose sum is σ = 7387200. Its totient is φ = 727040.

The previous prime is 2553671. The next prime is 2553701. The reversal of 2553672 is 2763552.

It is a d-powerful number, because it can be written as 2¹² + 5⁸ + 5⁹ + 3¹¹ + 6⁵ + 7⁵ + 2¹² .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2553671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4204 + ... + 4772.

It is an arithmetic number, because the mean of its divisors is an integer number (115425).

2^2553672 is an apocalyptic number.

2553672 is a gapful number since it is divisible by the number (22) 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 2553672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693600).

2553672 is an abundant number, since it is smaller than the sum of its proper divisors (4833528).

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

2553672 is a wasteful number, since it uses less digits than its factorization.

2553672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 2553672 is about 1598.0212764541. The cubic root of 2553672 is about 136.6852668187.

The spelling of 2553672 in words is "two million, five hundred fifty-three thousand, six hundred seventy-two".