2026289281520 has 240 divisors, whose sum is σ = 5516860960800. Its totient is φ = 690107185152.

The previous prime is 2026289281519. The next prime is 2026289281571. The reversal of 2026289281520 is 251829826202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378955487 + ... + 378960833.

It is an arithmetic number, because the mean of its divisors is an integer number (22986920670).

Almost surely, 2^{2026289281520} is an apocalyptic number.

2026289281520 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 2026289281520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758430480400).

2026289281520 is an abundant number, since it is smaller than the sum of its proper divisors (3490571679280).

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

2026289281520 is a wasteful number, since it uses less digits than its factorization.

2026289281520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 2026289281520 in words is "two trillion, twenty-six billion, two hundred eighty-nine million, two hundred eighty-one thousand, five hundred twenty".