1949056000 has 88 divisors (see below), whose sum is σ = 4862787696. Its totient is φ = 779571200.

The previous prime is 1949055989. The next prime is 1949056027. The reversal of 1949056000 is 6509491.

It is a super-2 number, since 2×1949056000² = 7597638582272000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120387 + ... + 135613.

Almost surely, 2^1949056000 is an apocalyptic number.

1949056000 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 1949056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431393848).

1949056000 is an abundant number, since it is smaller than the sum of its proper divisors (2913731696).

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

1949056000 is an equidigital number, since it uses as much as digits as its factorization.

1949056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15262 (or 15234 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 1949056000 is about 44148.1143425175. The cubic root of 1949056000 is about 1249.1313431547.

The spelling of 1949056000 in words is "one billion, nine hundred forty-nine million, fifty-six thousand".