1949891200 has 96 divisors (see below), whose sum is σ = 4908151260. Its totient is φ = 765173760.

The previous prime is 1949891197. The next prime is 1949891219. The reversal of 1949891200 is 21989491.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1019397184 + 930494016 = 31928^2 + 30504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163852 + ... + 175348.

Almost surely, 2^1949891200 is an apocalyptic number.

1949891200 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 1949891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454075630).

1949891200 is an abundant number, since it is smaller than the sum of its proper divisors (2958260060).

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

1949891200 is a wasteful number, since it uses less digits than its factorization.

1949891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11574 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 1949891200 is about 44157.5723970419. The cubic root of 1949891200 is about 1249.3097415715.

The spelling of 1949891200 in words is "one billion, nine hundred forty-nine million, eight hundred ninety-one thousand, two hundred".