2781103248 has 600 divisors, whose sum is σ = 10727259840. Its totient is φ = 674956800.

The previous prime is 2781103211. The next prime is 2781103307. The reversal of 2781103248 is 8423011872.

It is a super-2 number, since 2×2781103248² = 15469070552072299008, which contains 22 as substring.

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

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 119 ways as a sum of consecutive naturals, for example, 89712993 + ... + 89713023.

Almost surely, 2^2781103248 is an apocalyptic number.

2781103248 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 2781103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363629920).

2781103248 is an abundant number, since it is smaller than the sum of its proper divisors (7946156592).

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

2781103248 is a wasteful number, since it uses less digits than its factorization.

2781103248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2781103248 is about 52736.1664135724. The cubic root of 2781103248 is about 1406.2818471721.

The spelling of 2781103248 in words is "two billion, seven hundred eighty-one million, one hundred three thousand, two hundred forty-eight".