1984712970240 has 2496 divisors, whose sum is σ = 9562248364032. Its totient is φ = 367342387200.

The previous prime is 1984712970137. The next prime is 1984712970257. The reversal of 1984712970240 is 420792174891.

It is a tau number, because it is divible by the number of its divisors (2496).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5719633747 + ... + 5719634093.

It is an arithmetic number, because the mean of its divisors is an integer number (3831028992).

Almost surely, 2^{1984712970240} is an apocalyptic number.

1984712970240 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 1984712970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781124182016).

1984712970240 is an abundant number, since it is smaller than the sum of its proper divisors (7577535393792).

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

1984712970240 is a wasteful number, since it uses less digits than its factorization.

1984712970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1984712970240 in words is "one trillion, nine hundred eighty-four billion, seven hundred twelve million, nine hundred seventy thousand, two hundred forty".