1826426880 has 312 divisors, whose sum is σ = 6583204992. Its totient is φ = 485720064.

The previous prime is 1826426867. The next prime is 1826426881. The reversal of 1826426880 is 886246281.

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

It is not an unprimeable number, because it can be changed into a prime (1826426881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976457 + ... + 4976823.

It is an arithmetic number, because the mean of its divisors is an integer number (21100016).

Almost surely, 2^1826426880 is an apocalyptic number.

1826426880 is a gapful number since it is divisible by the number (10) 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 1826426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291602496).

1826426880 is an abundant number, since it is smaller than the sum of its proper divisors (4756778112).

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

1826426880 is an frugal number, since it uses more digits than its factorization.

1826426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1826426880 is about 42736.7158307702. The cubic root of 1826426880 is about 1222.3645978984.

The spelling of 1826426880 in words is "one billion, eight hundred twenty-six million, four hundred twenty-six thousand, eight hundred eighty".