1949032320 has 256 divisors, whose sum is σ = 6632513280. Its totient is φ = 485130240.

The previous prime is 1949032291. The next prime is 1949032321. The reversal of 1949032320 is 232309491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949032321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6886899 + ... + 6887181.

It is an arithmetic number, because the mean of its divisors is an integer number (25908255).

Almost surely, 2^1949032320 is an apocalyptic number.

1949032320 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 1949032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316256640).

1949032320 is an abundant number, since it is smaller than the sum of its proper divisors (4683480960).

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

1949032320 is a wasteful number, since it uses less digits than its factorization.

1949032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1949032320 is about 44147.8461535781. The cubic root of 1949032320 is about 1249.1262843724.

The spelling of 1949032320 in words is "one billion, nine hundred forty-nine million, thirty-two thousand, three hundred twenty".