1949217504 has 96 divisors (see below), whose sum is σ = 5688152064. Its totient is φ = 580400640.

The previous prime is 1949217421. The next prime is 1949217521. The reversal of 1949217504 is 4057129491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13497 + ... + 63879.

It is an arithmetic number, because the mean of its divisors is an integer number (59251584).

Almost surely, 2^1949217504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1949217504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844076032).

1949217504 is an abundant number, since it is smaller than the sum of its proper divisors (3738934560).

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

1949217504 is a wasteful number, since it uses less digits than its factorization.

1949217504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50440 (or 50432 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1949217504 is about 44149.9434201223. The cubic root of 1949217504 is about 1249.1658443246.

It can be divided in two parts, 1949 and 217504, that added together give a triangular number (219453 = T₆₆₂).

The spelling of 1949217504 in words is "one billion, nine hundred forty-nine million, two hundred seventeen thousand, five hundred four".