2905470720 has 216 divisors, whose sum is σ = 10115960400. Its totient is φ = 769916928.

The previous prime is 2905470683. The next prime is 2905470721. The reversal of 2905470720 is 270745092.

2905470720 is a `hidden beast` number, since 2 + 90 + 547 + 0 + 7 + 20 = 666.

2905470720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2905470721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2061376 + ... + 2062784.

It is an arithmetic number, because the mean of its divisors is an integer number (46833150).

Almost surely, 2^2905470720 is an apocalyptic number.

2905470720 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 2905470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057980200).

2905470720 is an abundant number, since it is smaller than the sum of its proper divisors (7210489680).

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

2905470720 is a wasteful number, since it uses less digits than its factorization.

2905470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2905470720 is about 53902.4184986166. The cubic root of 2905470720 is about 1426.9393060142.

The spelling of 2905470720 in words is "two billion, nine hundred five million, four hundred seventy thousand, seven hundred twenty".