2085378048 has 240 divisors, whose sum is σ = 6714948240. Its totient is φ = 640991232.

The previous prime is 2085378037. The next prime is 2085378059. The reversal of 2085378048 is 8408735802.

It is an interprime number because it is at equal distance from previous prime (2085378037) and next prime (2085378059).

It is a junction number, because it is equal to n+sod(n) for n = 2085377994 and 2085378012.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2156061 + ... + 2157027.

It is an arithmetic number, because the mean of its divisors is an integer number (27978951).

Almost surely, 2^2085378048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357474120).

2085378048 is an abundant number, since it is smaller than the sum of its proper divisors (4629570192).

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

2085378048 is an equidigital number, since it uses as much as digits as its factorization.

2085378048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2085378048 is about 45665.9396925104. The cubic root of 2085378048 is about 1277.6000864698.

The spelling of 2085378048 in words is "two billion, eighty-five million, three hundred seventy-eight thousand, forty-eight".