1970742810960 has 2160 divisors, whose sum is σ = 9210133138752. Its totient is φ = 387207475200.

The previous prime is 1970742810893. The next prime is 1970742810977. The reversal of 1970742810960 is 690182470791.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×1970742810960² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1970742810897 and 1970742810906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3782615500 + ... + 3782616020.

Almost surely, 2^{1970742810960} is an apocalyptic number.

1970742810960 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 1970742810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605066569376).

1970742810960 is an abundant number, since it is smaller than the sum of its proper divisors (7239390327792).

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

1970742810960 is a wasteful number, since it uses less digits than its factorization.

1970742810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1970742810960 in words is "one trillion, nine hundred seventy billion, seven hundred forty-two million, eight hundred ten thousand, nine hundred sixty".