1947781056 has 224 divisors, whose sum is σ = 5837529600. Its totient is φ = 568995840.

The previous prime is 1947781021. The next prime is 1947781117. The reversal of 1947781056 is 6501877491.

It is a super-2 number, since 2×1947781056² = 7587702084224950272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1947780996 and 1947781014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5139075 + ... + 5139453.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 2^1947781056 is an apocalyptic number.

1947781056 is a gapful number since it is divisible by the number (16) 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 1947781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918764800).

1947781056 is an abundant number, since it is smaller than the sum of its proper divisors (3889748544).

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

1947781056 is a wasteful number, since it uses less digits than its factorization.

1947781056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The square root of 1947781056 is about 44133.6725868129. The cubic root of 1947781056 is about 1248.8589172745.

The spelling of 1947781056 in words is "one billion, nine hundred forty-seven million, seven hundred eighty-one thousand, fifty-six".