1973281920 has 64 divisors (see below), whose sum is σ = 6289842240. Its totient is φ = 526208000.

The previous prime is 1973281901. The next prime is 1973281927. The reversal of 1973281920 is 291823791.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1973281927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511956 + ... + 515795.

It is an arithmetic number, because the mean of its divisors is an integer number (98278785).

Almost surely, 2^1973281920 is an apocalyptic number.

1973281920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1973281920 is an abundant number, since it is smaller than the sum of its proper divisors (4316560320).

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

1973281920 is a wasteful number, since it uses less digits than its factorization.

1973281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027773 (or 1027761 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1973281920 is about 44421.6379707007. The cubic root of 1973281920 is about 1254.2854341867.

The spelling of 1973281920 in words is "one billion, nine hundred seventy-three million, two hundred eighty-one thousand, nine hundred twenty".