2552226057248 has 288 divisors, whose sum is σ = 6164861125248. Its totient is φ = 1018618675200.

The previous prime is 2552226057247. The next prime is 2552226057257. The reversal of 2552226057248 is 8427506222552.

It is a junction number, because it is equal to n+sod(n) for n = 2552226057196 and 2552226057205.

It is not an unprimeable number, because it can be changed into a prime (2552226057247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3147010763 + ... + 3147011573.

It is an arithmetic number, because the mean of its divisors is an integer number (21405767796).

Almost surely, 2^{2552226057248} is an apocalyptic number.

2552226057248 is a gapful number since it is divisible by the number (28) 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 2552226057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082430562624).

2552226057248 is an abundant number, since it is smaller than the sum of its proper divisors (3612635068000).

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

2552226057248 is a wasteful number, since it uses less digits than its factorization.

2552226057248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 50.

The spelling of 2552226057248 in words is "two trillion, five hundred fifty-two billion, two hundred twenty-six million, fifty-seven thousand, two hundred forty-eight".