1826880048 has 160 divisors (see below), whose sum is σ = 6013662720. Its totient is φ = 520162560.

The previous prime is 1826880007. The next prime is 1826880053. The reversal of 1826880048 is 8400886281.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1826879985 and 1826880012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048458 + ... + 1050198.

It is an arithmetic number, because the mean of its divisors is an integer number (37585392).

Almost surely, 2^1826880048 is an apocalyptic number.

1826880048 is a gapful number since it is divisible by the number (18) 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 1826880048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006831360).

1826880048 is an abundant number, since it is smaller than the sum of its proper divisors (4186782672).

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

1826880048 is a wasteful number, since it uses less digits than its factorization.

1826880048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1826880048 is about 42742.0173599703. The cubic root of 1826880048 is about 1222.4656861158.

The spelling of 1826880048 in words is "one billion, eight hundred twenty-six million, eight hundred eighty thousand, forty-eight".