2042348448 has 384 divisors, whose sum is σ = 6874398720. Its totient is φ = 517570560.

The previous prime is 2042348419. The next prime is 2042348467. The reversal of 2042348448 is 8448432402.

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 63 ways as a sum of consecutive naturals, for example, 25852473 + ... + 25852551.

It is an arithmetic number, because the mean of its divisors is an integer number (17902080).

Almost surely, 2^2042348448 is an apocalyptic number.

2042348448 is a gapful number since it is divisible by the number (28) 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 2042348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437199360).

2042348448 is an abundant number, since it is smaller than the sum of its proper divisors (4832050272).

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

2042348448 is a wasteful number, since it uses less digits than its factorization.

2042348448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The square root of 2042348448 is about 45192.3494410282. The cubic root of 2042348448 is about 1268.7516300528.

The spelling of 2042348448 in words is "two billion, forty-two million, three hundred forty-eight thousand, four hundred forty-eight".