2026258416000 has 3584 divisors, whose sum is σ = 9817332295680. Its totient is φ = 404003635200.

The previous prime is 2026258415971. The next prime is 2026258416073. The reversal of 2026258416000 is 6148526202.

It is a happy number.

2026258416000 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 2 + 5 + 8 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 24412751959 + ... + 24412752041.

It is an arithmetic number, because the mean of its divisors is an integer number (2739211020).

Almost surely, 2^{2026258416000} is an apocalyptic number.

2026258416000 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 2026258416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908666147840).

2026258416000 is an abundant number, since it is smaller than the sum of its proper divisors (7791073879680).

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

2026258416000 is an equidigital number, since it uses as much as digits as its factorization.

2026258416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2026258416000 in words is "two trillion, twenty-six billion, two hundred fifty-eight million, four hundred sixteen thousand".