2909425980672 has 432 divisors, whose sum is σ = 8637523549200. Its totient is φ = 941487685632.

The previous prime is 2909425980511. The next prime is 2909425980697. The reversal of 2909425980672 is 2760895249092.

2909425980672 is a `hidden beast` number, since 290 + 94 + 259 + 8 + 0 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 347326350336 + 2562099630336 = 589344^2 + 1600656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8336463954 + ... + 8336464302.

It is an arithmetic number, because the mean of its divisors is an integer number (19994267475).

Almost surely, 2^{2909425980672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2909425980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318761774600).

2909425980672 is an abundant number, since it is smaller than the sum of its proper divisors (5728097568528).

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

2909425980672 is a wasteful number, since it uses less digits than its factorization.

2909425980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2909425980672 in words is "two trillion, nine hundred nine billion, four hundred twenty-five million, nine hundred eighty thousand, six hundred seventy-two".