2909234407040 has 256 divisors, whose sum is σ = 7834846521600. Its totient is φ = 1024935690240.

The previous prime is 2909234407007. The next prime is 2909234407067. The reversal of 2909234407040 is 407044329092.

It is a junction number, because it is equal to n+sod(n) for n = 2909234406982 and 2909234407000.

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, 78247655 + ... + 78284825.

It is an arithmetic number, because the mean of its divisors is an integer number (30604869225).

Almost surely, 2^{2909234407040} is an apocalyptic number.

2909234407040 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 2909234407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917423260800).

2909234407040 is an abundant number, since it is smaller than the sum of its proper divisors (4925612114560).

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

2909234407040 is a wasteful number, since it uses less digits than its factorization.

2909234407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37635 (or 37623 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 2909234407040 in words is "two trillion, nine hundred nine billion, two hundred thirty-four million, four hundred seven thousand, forty".