1972781040 has 80 divisors (see below), whose sum is σ = 6120027936. Its totient is φ = 525696000.

The previous prime is 1972781029. The next prime is 1972781089. The reversal of 1972781040 is 401872791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1972781040³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1972781040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531190 + ... + 534890.

Almost surely, 2^1972781040 is an apocalyptic number.

1972781040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972781040 is an abundant number, since it is smaller than the sum of its proper divisors (4147246896).

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

1972781040 is a wasteful number, since it uses less digits than its factorization.

1972781040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 1972781040 is about 44415.9998198847. Note that the first 3 decimals coincide. The cubic root of 1972781040 is about 1254.1792997235.

The spelling of 1972781040 in words is "one billion, nine hundred seventy-two million, seven hundred eighty-one thousand, forty".