2026544000 has 128 divisors (see below), whose sum is σ = 5426628480. Its totient is φ = 748185600.

The previous prime is 2026543993. The next prime is 2026544011. The reversal of 2026544000 is 4456202.

It is a tau number, because it is divible by the number of its divisors (128).

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, 203129 + ... + 212871.

It is an arithmetic number, because the mean of its divisors is an integer number (42395535).

Almost surely, 2^2026544000 is an apocalyptic number.

2026544000 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 2026544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713314240).

2026544000 is an abundant number, since it is smaller than the sum of its proper divisors (3400084480).

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

2026544000 is an equidigital number, since it uses as much as digits as its factorization.

2026544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9785 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2026544000 is about 45017.1522866562. The cubic root of 2026544000 is about 1265.4704619520.

The spelling of 2026544000 in words is "two billion, twenty-six million, five hundred forty-four thousand".