1949684256 has 192 divisors, whose sum is σ = 6202506240. Its totient is φ = 599622912.

The previous prime is 1949684251. The next prime is 1949684281. The reversal of 1949684256 is 6524869491.

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

It is not an unprimeable number, because it can be changed into a prime (1949684251) by changing a digit.

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, 908721 + ... + 910863.

It is an arithmetic number, because the mean of its divisors is an integer number (32304720).

Almost surely, 2^1949684256 is an apocalyptic number.

1949684256 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 1949684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101253120).

1949684256 is an abundant number, since it is smaller than the sum of its proper divisors (4252821984).

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

1949684256 is an equidigital number, since it uses as much as digits as its factorization.

1949684256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2161 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 1949684256 is about 44155.2290901089. The cubic root of 1949684256 is about 1249.2655431564.

The spelling of 1949684256 in words is "one billion, nine hundred forty-nine million, six hundred eighty-four thousand, two hundred fifty-six".