2078048544 has 384 divisors, whose sum is σ = 6990520320. Its totient is φ = 530841600.

The previous prime is 2078048537. The next prime is 2078048569. The reversal of 2078048544 is 4458408702.

It is a junction number, because it is equal to n+sod(n) for n = 2078048496 and 2078048505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8085664 + ... + 8085920.

It is an arithmetic number, because the mean of its divisors is an integer number (18204480).

Almost surely, 2^2078048544 is an apocalyptic number.

2078048544 is a gapful number since it is divisible by the number (24) 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 2078048544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495260160).

2078048544 is an abundant number, since it is smaller than the sum of its proper divisors (4912471776).

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

2078048544 is a wasteful number, since it uses less digits than its factorization.

2078048544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 2078048544 is about 45585.6177319119. The cubic root of 2078048544 is about 1276.1015304935.

The spelling of 2078048544 in words is "two billion, seventy-eight million, forty-eight thousand, five hundred forty-four".