2905641216 has 81 divisors (see below), whose sum is σ = 8385146679. Its totient is φ = 967684608.

The previous prime is 2905641203. The next prime is 2905641239. The reversal of 2905641216 is 6121465092.

The square root of 2905641216 is 53904.

It is a perfect power (a square), and thus also a powerful number.

2905641216 is a `hidden beast` number, since 2 + 9 + 0 + 5 + 641 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×2905641216² = 16885501752235917312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2586831 + ... + 2587953.

Almost surely, 2^2905641216 is an apocalyptic number.

2905641216 is the 53904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2905641216

2905641216 is an abundant number, since it is smaller than the sum of its proper divisors (5479505463).

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

2905641216 is an frugal number, since it uses more digits than its factorization.

2905641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 2905641216 is about 1426.9672168887.

Multiplying 2905641216 by its sum of digits (36), we get a square (104603083776 = 323424²).

2905641216 divided by its sum of digits (36) gives a square (80712256 = 8984²).

The spelling of 2905641216 in words is "two billion, nine hundred five million, six hundred forty-one thousand, two hundred sixteen".