2970074112000 has 448 divisors, whose sum is σ = 10125301088448. Its totient is φ = 772669440000.

The previous prime is 2970074111899. The next prime is 2970074112029. The reversal of 2970074112000 is 2114700792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125940210 + ... + 125963790.

It is an arithmetic number, because the mean of its divisors is an integer number (22601118501).

Almost surely, 2^{2970074112000} is an apocalyptic number.

2970074112000 is a gapful number since it is divisible by the number (20) 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 2970074112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062650544224).

2970074112000 is an abundant number, since it is smaller than the sum of its proper divisors (7155226976448).

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

2970074112000 is an equidigital number, since it uses as much as digits as its factorization.

2970074112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23666 (or 23632 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

Adding to 2970074112000 its reverse (2114700792), we get a palindrome (2972188812792).

The spelling of 2970074112000 in words is "two trillion, nine hundred seventy billion, seventy-four million, one hundred twelve thousand".