2552551248 has 80 divisors (see below), whose sum is σ = 7132737920. Its totient is φ = 781926912.

The previous prime is 2552551231. The next prime is 2552551249. The reversal of 2552551248 is 8421552552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552551249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 133965 + ... + 151827.

It is an arithmetic number, because the mean of its divisors is an integer number (89159224).

Almost surely, 2^2552551248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552551248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566368960).

2552551248 is an abundant number, since it is smaller than the sum of its proper divisors (4580186672).

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

2552551248 is a wasteful number, since it uses less digits than its factorization.

2552551248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18116 (or 18110 counting only the distinct ones).

The product of its digits is 160000, while the sum is 39.

The square root of 2552551248 is about 50522.7794959858. The cubic root of 2552551248 is about 1366.6526781303.

The spelling of 2552551248 in words is "two billion, five hundred fifty-two million, five hundred fifty-one thousand, two hundred forty-eight".