2909677680 has 640 divisors, whose sum is σ = 12539197440. Its totient is φ = 603832320.

The previous prime is 2909677657. The next prime is 2909677733. The reversal of 2909677680 is 867769092.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22211215 + ... + 22211345.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^2909677680 is an apocalyptic number.

2909677680 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 2909677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269598720).

2909677680 is an abundant number, since it is smaller than the sum of its proper divisors (9629519760).

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

2909677680 is a wasteful number, since it uses less digits than its factorization.

2909677680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 2909677680 is about 53941.4282347066. The cubic root of 2909677680 is about 1427.6276834599.

The spelling of 2909677680 in words is "two billion, nine hundred nine million, six hundred seventy-seven thousand, six hundred eighty".