2831517948 has 96 divisors (see below), whose sum is σ = 7911751680. Its totient is φ = 770616000.

The previous prime is 2831517937. The next prime is 2831517967. The reversal of 2831517948 is 8497151382.

It is a super-2 number, since 2×2831517948² = 16034987779692261408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2831517897 and 2831517906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482013 + ... + 487851.

It is an arithmetic number, because the mean of its divisors is an integer number (82414080).

Almost surely, 2^2831517948 is an apocalyptic number.

2831517948 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 2831517948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955875840).

2831517948 is an abundant number, since it is smaller than the sum of its proper divisors (5080233732).

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

2831517948 is a wasteful number, since it uses less digits than its factorization.

2831517948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6125 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 2831517948 is about 53212.0094339614. The cubic root of 2831517948 is about 1414.7285120536.

The spelling of 2831517948 in words is "two billion, eight hundred thirty-one million, five hundred seventeen thousand, nine hundred forty-eight".