2553144 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 731520.

The previous prime is 2553139. The next prime is 2553149. The reversal of 2553144 is 4413552.

2553144 = 55² + 56² + ... + 198².

It is an interprime number because it is at equal distance from previous prime (2553139) and next prime (2553149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553149) 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, 4762 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

2^2553144 is an apocalyptic number.

2553144 is a gapful number since it is divisible by the number (24) 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 2553144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2553144 is an abundant number, since it is smaller than the sum of its proper divisors (4790856).

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

2553144 is a wasteful number, since it uses less digits than its factorization.

2553144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 544 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 2553144 is about 1597.8560636052. The cubic root of 2553144 is about 136.6758457712.

Adding to 2553144 its reverse (4413552), we get a palindrome (6966696).

The spelling of 2553144 in words is "two million, five hundred fifty-three thousand, one hundred forty-four".