2906816640 has 512 divisors, whose sum is σ = 11581194240. Its totient is φ = 603832320.

The previous prime is 2906816617. The next prime is 2906816657. The reversal of 2906816640 is 466186092.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2906816592 and 2906816601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22189375 + ... + 22189505.

It is an arithmetic number, because the mean of its divisors is an integer number (22619520).

Almost surely, 2^2906816640 is an apocalyptic number.

2906816640 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 2906816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790597120).

2906816640 is an abundant number, since it is smaller than the sum of its proper divisors (8674377600).

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

2906816640 is a wasteful number, since it uses less digits than its factorization.

2906816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2906816640 is about 53914.9018361343. The cubic root of 2906816640 is about 1427.1596087760.

The spelling of 2906816640 in words is "two billion, nine hundred six million, eight hundred sixteen thousand, six hundred forty".