1972919904 has 96 divisors (see below), whose sum is σ = 5493712896. Its totient is φ = 617809920.

The previous prime is 1972919869. The next prime is 1972919911. The reversal of 1972919904 is 4099192791.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 1486089 + ... + 1487415.

It is an arithmetic number, because the mean of its divisors is an integer number (57226176).

Almost surely, 2^1972919904 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 1972919904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746856448).

1972919904 is an abundant number, since it is smaller than the sum of its proper divisors (3520792992).

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

1972919904 is a wasteful number, since it uses less digits than its factorization.

1972919904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 51.

The square root of 1972919904 is about 44417.5630128444. The cubic root of 1972919904 is about 1254.2087262479.

The spelling of 1972919904 in words is "one billion, nine hundred seventy-two million, nine hundred nineteen thousand, nine hundred four".