2553223120 has 80 divisors (see below), whose sum is σ = 6870274560. Its totient is φ = 864294912.

The previous prime is 2553223117. The next prime is 2553223121. The reversal of 2553223120 is 213223552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2553223120³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553223121) 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, 15384 + ... + 73096.

It is an arithmetic number, because the mean of its divisors is an integer number (85878432).

Almost surely, 2^2553223120 is an apocalyptic number.

2553223120 is a gapful number since it is divisible by the number (20) 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 2553223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435137280).

2553223120 is an abundant number, since it is smaller than the sum of its proper divisors (4317051440).

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

2553223120 is a wasteful number, since it uses less digits than its factorization.

2553223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57812 (or 57806 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2553223120 is about 50529.4282572047. The cubic root of 2553223120 is about 1366.7725758363.

Adding to 2553223120 its reverse (213223552), we get a palindrome (2766446672).

The spelling of 2553223120 in words is "two billion, five hundred fifty-three million, two hundred twenty-three thousand, one hundred twenty".