2894568003649 has 75 divisors (see below), whose sum is σ = 3705365990217. Its totient is φ = 2254592522112.

The previous prime is 2894568003623. The next prime is 2894568003703. The reversal of 2894568003649 is 9463008654982.

The square root of 2894568003649 is 1701343.

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

It can be written as a sum of positive squares in 12 ways, for example, as 1863205890049 + 1031362113600 = 1364993^2 + 1015560^2 .

It is not a de Polignac number, because 2894568003649 - 2¹³ = 2894567995457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2894568003449) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 99812689767 + ... + 99812689795.

Almost surely, 2^{2894568003649} is an apocalyptic number.

2894568003649 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2894568003649 is the 1701343-rd square number.

2894568003649 is the 850672-nd centered octagonal number.

It is an amenable number.

2894568003649 is a deficient number, since it is larger than the sum of its proper divisors (810797986568).

2894568003649 is an frugal number, since it uses more digits than its factorization.

2894568003649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 64.

Multiplying 2894568003649 by its sum of digits (64), we get a square (185252352233536 = 13610744²).

The spelling of 2894568003649 in words is "two trillion, eight hundred ninety-four billion, five hundred sixty-eight million, three thousand, six hundred forty-nine".