2258050498368 has 672 divisors, whose sum is σ = 7808279592960. Its totient is φ = 570621542400.

The previous prime is 2258050498313. The next prime is 2258050498373. The reversal of 2258050498368 is 8638940508522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385922643 + ... + 385928493.

It is an arithmetic number, because the mean of its divisors is an integer number (11619463680).

Almost surely, 2^{2258050498368} is an apocalyptic number.

2258050498368 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 2258050498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904139796480).

2258050498368 is an abundant number, since it is smaller than the sum of its proper divisors (5550229094592).

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

2258050498368 is a wasteful number, since it uses less digits than its factorization.

2258050498368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 2258050498368 in words is "two trillion, two hundred fifty-eight billion, fifty million, four hundred ninety-eight thousand, three hundred sixty-eight".