1949112720 has 280 divisors, whose sum is σ = 7156089600. Its totient is φ = 492127488.

The previous prime is 1949112709. The next prime is 1949112773. The reversal of 1949112720 is 272119491.

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

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 55 ways as a sum of consecutive naturals, for example, 1107201 + ... + 1108959.

Almost surely, 2^1949112720 is an apocalyptic number.

1949112720 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 1949112720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578044800).

1949112720 is an abundant number, since it is smaller than the sum of its proper divisors (5206976880).

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

1949112720 is a wasteful number, since it uses less digits than its factorization.

1949112720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1949112720 is about 44148.7567208863. The cubic root of 1949112720 is about 1249.1434601390.

The spelling of 1949112720 in words is "one billion, nine hundred forty-nine million, one hundred twelve thousand, seven hundred twenty".