2905410816 has 576 divisors, whose sum is σ = 11019939840. Its totient is φ = 733224960.

The previous prime is 2905410793. The next prime is 2905410817. The reversal of 2905410816 is 6180145092.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905410817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28207821 + ... + 28207923.

It is an arithmetic number, because the mean of its divisors is an integer number (19131840).

Almost surely, 2^2905410816 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 2905410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509969920).

2905410816 is an abundant number, since it is smaller than the sum of its proper divisors (8114529024).

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

2905410816 is a wasteful number, since it uses less digits than its factorization.

2905410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2905410816 is about 53901.8628249525. The cubic root of 2905410816 is about 1426.9294992316.

The spelling of 2905410816 in words is "two billion, nine hundred five million, four hundred ten thousand, eight hundred sixteen".