2950981904000 has 256 divisors, whose sum is σ = 7908502361760. Its totient is φ = 1088593920000.

The previous prime is 2950981903967. The next prime is 2950981904009. The reversal of 2950981904000 is 4091890592.

It can be written as a sum of positive squares in 16 ways, for example, as 1621425315904 + 1329556588096 = 1273352^2 + 1153064^2 .

It is not an unprimeable number, because it can be changed into a prime (2950981904009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249802094 + ... + 249813906.

Almost surely, 2^{2950981904000} is an apocalyptic number.

2950981904000 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 2950981904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954251180880).

2950981904000 is an abundant number, since it is smaller than the sum of its proper divisors (4957520457760).

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

2950981904000 is a wasteful number, since it uses less digits than its factorization.

2950981904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13056 (or 13034 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 2950981904000 in words is "two trillion, nine hundred fifty billion, nine hundred eighty-one million, nine hundred four thousand".