1972501440 has 448 divisors, whose sum is σ = 7846185984. Its totient is φ = 408748032.

The previous prime is 1972501379. The next prime is 1972501463. The reversal of 1972501440 is 441052791.

It is a happy number.

1972501440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5852952 + ... + 5853288.

It is an arithmetic number, because the mean of its divisors is an integer number (17513808).

Almost surely, 2^1972501440 is an apocalyptic number.

1972501440 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 1972501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923092992).

1972501440 is an abundant number, since it is smaller than the sum of its proper divisors (5873684544).

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

1972501440 is a wasteful number, since it uses less digits than its factorization.

1972501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1972501440 is about 44412.8521939314. The cubic root of 1972501440 is about 1254.1200457916.

The spelling of 1972501440 in words is "one billion, nine hundred seventy-two million, five hundred one thousand, four hundred forty".