2831381941248 has 792 divisors, whose sum is σ = 9941910474496. Its totient is φ = 788419215360.

The previous prime is 2831381941163. The next prime is 2831381941259. The reversal of 2831381941248 is 8421491831382.

2831381941248 is a `hidden beast` number, since 2 + 8 + 313 + 81 + 9 + 4 + 1 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2831381941194 and 2831381941203.

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 71 ways as a sum of consecutive naturals, for example, 2928005661 + ... + 2928006627.

Almost surely, 2^{2831381941248} is an apocalyptic number.

2831381941248 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 2831381941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970955237248).

2831381941248 is an abundant number, since it is smaller than the sum of its proper divisors (7110528533248).

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

2831381941248 is an frugal number, since it uses more digits than its factorization.

2831381941248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1020 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 2831381941248 in words is "two trillion, eight hundred thirty-one billion, three hundred eighty-one million, nine hundred forty-one thousand, two hundred forty-eight".