2552314100 has 72 divisors (see below), whose sum is σ = 6338969280. Its totient is φ = 873803520.

The previous prime is 2552314087. The next prime is 2552314133. The reversal of 2552314100 is 14132552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564047 + ... + 568553.

It is an arithmetic number, because the mean of its divisors is an integer number (88041240).

Almost surely, 2^2552314100 is an apocalyptic number.

2552314100 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 2552314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169484640).

2552314100 is an abundant number, since it is smaller than the sum of its proper divisors (3786655180).

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

2552314100 is a wasteful number, since it uses less digits than its factorization.

2552314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2552314100 is about 50520.4325001281. The cubic root of 2552314100 is about 1366.6103532881.

Adding to 2552314100 its reverse (14132552), we get a palindrome (2566446652).

The spelling of 2552314100 in words is "two billion, five hundred fifty-two million, three hundred fourteen thousand, one hundred".