2890219680 has 72 divisors (see below), whose sum is σ = 9862879572. Its totient is φ = 770724864.

The previous prime is 2890219679. The next prime is 2890219697. The reversal of 2890219680 is 869120982.

It can be written as a sum of positive squares in 2 ways, for example, as 2646485136 + 243734544 = 51444^2 + 15612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002109 + ... + 1004988.

Almost surely, 2^2890219680 is an apocalyptic number.

2890219680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890219680 is an abundant number, since it is smaller than the sum of its proper divisors (6972659892).

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

2890219680 is a wasteful number, since it uses less digits than its factorization.

2890219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007118 (or 2007107 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2890219680 is about 53760.7633874371. The cubic root of 2890219680 is about 1424.4382199242.

The spelling of 2890219680 in words is "two billion, eight hundred ninety million, two hundred nineteen thousand, six hundred eighty".