2973786890880 has 1024 divisors, whose sum is σ = 11420965785600. Its totient is φ = 650196025344.

The previous prime is 2973786890849. The next prime is 2973786890887. The reversal of 2973786890880 is 880986873792.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2973786890887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2797541229 + ... + 2797542291.

It is an arithmetic number, because the mean of its divisors is an integer number (11153286900).

Almost surely, 2^{2973786890880} is an apocalyptic number.

2973786890880 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 2973786890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710482892800).

2973786890880 is an abundant number, since it is smaller than the sum of its proper divisors (8447178894720).

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

2973786890880 is a wasteful number, since it uses less digits than its factorization.

2973786890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 75.

The spelling of 2973786890880 in words is "two trillion, nine hundred seventy-three billion, seven hundred eighty-six million, eight hundred ninety thousand, eight hundred eighty".