1973207040 has 480 divisors, whose sum is σ = 7650177024. Its totient is φ = 424673280.

The previous prime is 1973207039. The next prime is 1973207059. The reversal of 1973207040 is 407023791.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 1973206992 and 1973207010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53329902 + ... + 53329938.

Almost surely, 2^1973207040 is an apocalyptic number.

1973207040 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 1973207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825088512).

1973207040 is an abundant number, since it is smaller than the sum of its proper divisors (5676969984).

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

1973207040 is an equidigital number, since it uses as much as digits as its factorization.

1973207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1973207040 is about 44420.7951302090. The cubic root of 1973207040 is about 1254.2695685569.

The spelling of 1973207040 in words is "one billion, nine hundred seventy-three million, two hundred seven thousand, forty".