2026258760064 has 1024 divisors, whose sum is σ = 7111379681280. Its totient is φ = 496005120000.

The previous prime is 2026258760041. The next prime is 2026258760093. The reversal of 2026258760064 is 4600678526202.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2026258759995 and 2026258760022.

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 127 ways as a sum of consecutive naturals, for example, 8072743939 + ... + 8072744189.

It is an arithmetic number, because the mean of its divisors is an integer number (6944706720).

Almost surely, 2^{2026258760064} is an apocalyptic number.

2026258760064 is a gapful number since it is divisible by the number (24) 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 2026258760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555689840640).

2026258760064 is an abundant number, since it is smaller than the sum of its proper divisors (5085120921216).

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

2026258760064 is a wasteful number, since it uses less digits than its factorization.

2026258760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2026258760064 in words is "two trillion, twenty-six billion, two hundred fifty-eight million, seven hundred sixty thousand, sixty-four".