1973514240 has 416 divisors, whose sum is σ = 7265744640. Its totient is φ = 507838464.

The previous prime is 1973514229. The next prime is 1973514289. The reversal of 1973514240 is 424153791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1973514195 and 1973514204.

It is a congruent number.

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, 23777239 + ... + 23777321.

Almost surely, 2^1973514240 is an apocalyptic number.

1973514240 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 1973514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632872320).

1973514240 is an abundant number, since it is smaller than the sum of its proper divisors (5292230400).

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

1973514240 is an equidigital number, since it uses as much as digits as its factorization.

1973514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1973514240 is about 44424.2528355852. The cubic root of 1973514240 is about 1254.3346557659.

The spelling of 1973514240 in words is "one billion, nine hundred seventy-three million, five hundred fourteen thousand, two hundred forty".