1949355100 has 144 divisors (see below), whose sum is σ = 5295661056. Its totient is φ = 605088000.

The previous prime is 1949355049. The next prime is 1949355119. The reversal of 1949355100 is 15539491.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1949355100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2948770 + ... + 2949430.

It is an arithmetic number, because the mean of its divisors is an integer number (36775424).

Almost surely, 2^1949355100 is an apocalyptic number.

1949355100 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 1949355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647830528).

1949355100 is an abundant number, since it is smaller than the sum of its proper divisors (3346305956).

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

1949355100 is a wasteful number, since it uses less digits than its factorization.

1949355100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 1949355100 is about 44151.5016732161. The cubic root of 1949355100 is about 1249.1952366626.

The spelling of 1949355100 in words is "one billion, nine hundred forty-nine million, three hundred fifty-five thousand, one hundred".