1972540782540 has 336 divisors, whose sum is σ = 6446921120640. Its totient is φ = 506368765440.

The previous prime is 1972540782539. The next prime is 1972540782577. The reversal of 1972540782540 is 452870452791.

1972540782540 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 540 + 78 + 25 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41777266 + ... + 41824454.

It is an arithmetic number, because the mean of its divisors is an integer number (19187265240).

Almost surely, 2^{1972540782540} is an apocalyptic number.

1972540782540 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 1972540782540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223460560320).

1972540782540 is an abundant number, since it is smaller than the sum of its proper divisors (4474380338100).

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

1972540782540 is a wasteful number, since it uses less digits than its factorization.

1972540782540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47324 (or 47307 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1972540782540 in words is "one trillion, nine hundred seventy-two billion, five hundred forty million, seven hundred eighty-two thousand, five hundred forty".