2026442880 has 512 divisors, whose sum is σ = 8953804800. Its totient is φ = 420802560.

The previous prime is 2026442867. The next prime is 2026442881. The reversal of 2026442880 is 882446202.

It is a happy number.

2026442880 is a `hidden beast` number, since 2 + 0 + 2 + 644 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026442881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1329799 + ... + 1331321.

It is an arithmetic number, because the mean of its divisors is an integer number (17487900).

Almost surely, 2^2026442880 is an apocalyptic number.

2026442880 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 2026442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476902400).

2026442880 is an abundant number, since it is smaller than the sum of its proper divisors (6927361920).

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

2026442880 is a wasteful number, since it uses less digits than its factorization.

2026442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2026442880 is about 45016.0291451834. The cubic root of 2026442880 is about 1265.4494135561.

The spelling of 2026442880 in words is "two billion, twenty-six million, four hundred forty-two thousand, eight hundred eighty".