2781330048 has 320 divisors, whose sum is σ = 9962462400. Its totient is φ = 752467968.

The previous prime is 2781330047. The next prime is 2781330053. The reversal of 2781330048 is 8400331872.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2781329994 and 2781330021.

It is not an unprimeable number, because it can be changed into a prime (2781330047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1377936 + ... + 1379952.

It is an arithmetic number, because the mean of its divisors is an integer number (31132695).

Almost surely, 2^2781330048 is an apocalyptic number.

2781330048 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 2781330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981231200).

2781330048 is an abundant number, since it is smaller than the sum of its proper divisors (7181132352).

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

2781330048 is a wasteful number, since it uses less digits than its factorization.

2781330048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2781330048 is about 52738.3166966865. The cubic root of 2781330048 is about 1406.3200737348.

The spelling of 2781330048 in words is "two billion, seven hundred eighty-one million, three hundred thirty thousand, forty-eight".