2258674962336 has 288 divisors, whose sum is σ = 7450785119232. Its totient is φ = 643315875840.

The previous prime is 2258674962331. The next prime is 2258674962391. The reversal of 2258674962336 is 6332694768522.

2258674962336 is a `hidden beast` number, since 2 + 2 + 58 + 67 + 496 + 2 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2258674962336² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2258674962331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2246416 + ... + 3092528.

It is an arithmetic number, because the mean of its divisors is an integer number (25870781664).

Almost surely, 2^{2258674962336} is an apocalyptic number.

2258674962336 is a gapful number since it is divisible by the number (26) 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 2258674962336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725392559616).

2258674962336 is an abundant number, since it is smaller than the sum of its proper divisors (5192110156896).

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

2258674962336 is a wasteful number, since it uses less digits than its factorization.

2258674962336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846196 (or 846185 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 2258674962336 in words is "two trillion, two hundred fifty-eight billion, six hundred seventy-four million, nine hundred sixty-two thousand, three hundred thirty-six".