2026045440 has 272 divisors, whose sum is σ = 7235119200. Its totient is φ = 537919488.

The previous prime is 2026045429. The next prime is 2026045451. The reversal of 2026045440 is 445406202.

2026045440 is a `hidden beast` number, since 2 + 0 + 2 + 604 + 54 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2026045429) and next prime (2026045451).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847246 + ... + 8847474.

Almost surely, 2^2026045440 is an apocalyptic number.

2026045440 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 2026045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617559600).

2026045440 is an abundant number, since it is smaller than the sum of its proper divisors (5209073760).

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

2026045440 is an frugal number, since it uses more digits than its factorization.

2026045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2026045440 is about 45011.6145011485. The cubic root of 2026045440 is about 1265.3666785818.

The spelling of 2026045440 in words is "two billion, twenty-six million, forty-five thousand, four hundred forty".