1949132160 has 384 divisors, whose sum is σ = 7110754560. Its totient is φ = 510105600.

The previous prime is 1949132153. The next prime is 1949132167. The reversal of 1949132160 is 612319491.

It is a happy number.

1949132160 is a `hidden beast` number, since 1 + 9 + 491 + 3 + 2 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (1949132153) and next prime (1949132167).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949132167) 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 47 ways as a sum of consecutive naturals, for example, 12908085 + ... + 12908235.

It is an arithmetic number, because the mean of its divisors is an integer number (18517590).

Almost surely, 2^1949132160 is an apocalyptic number.

1949132160 is a gapful number since it is divisible by the number (10) 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 1949132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555377280).

1949132160 is an abundant number, since it is smaller than the sum of its proper divisors (5161622400).

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

1949132160 is an equidigital number, since it uses as much as digits as its factorization.

1949132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1949132160 is about 44148.9768850876. The cubic root of 1949132160 is about 1249.1476130146.

The spelling of 1949132160 in words is "one billion, nine hundred forty-nine million, one hundred thirty-two thousand, one hundred sixty".