2831904768 has 416 divisors, whose sum is σ = 9775729152. Its totient is φ = 707788800.

The previous prime is 2831904737. The next prime is 2831904773. The reversal of 2831904768 is 8674091382.

It is a super-2 number, since 2×2831904768² = 16039369230042267648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 38793180 + ... + 38793252.

Almost surely, 2^2831904768 is an apocalyptic number.

2831904768 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 2831904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887864576).

2831904768 is an abundant number, since it is smaller than the sum of its proper divisors (6943824384).

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

2831904768 is a wasteful number, since it uses less digits than its factorization.

2831904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2831904768 is about 53215.6440156464. The cubic root of 2831904768 is about 1414.7929321955.

The spelling of 2831904768 in words is "two billion, eight hundred thirty-one million, nine hundred four thousand, seven hundred sixty-eight".