2026529542440 has 320 divisors, whose sum is σ = 7360424240400. Its totient is φ = 497132494848.

The previous prime is 2026529542423. The next prime is 2026529542469. The reversal of 2026529542440 is 442459256202.

2026529542440 is a `hidden beast` number, since 2 + 0 + 2 + 65 + 2 + 9 + 542 + 4 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 627007418244 + 1399522124196 = 791838^2 + 1183014^2 .

It is a super-2 number, since 2×2026529542440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12259056 + ... + 12423264.

Almost surely, 2^{2026529542440} is an apocalyptic number.

2026529542440 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 2026529542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680212120200).

2026529542440 is an abundant number, since it is smaller than the sum of its proper divisors (5333894697960).

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

2026529542440 is a wasteful number, since it uses less digits than its factorization.

2026529542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164538 (or 164525 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2026529542440 in words is "two trillion, twenty-six billion, five hundred twenty-nine million, five hundred forty-two thousand, four hundred forty".