2890204003600 has 135 divisors (see below), whose sum is σ = 6999294244207. Its totient is φ = 1146901277440.

The previous prime is 2890204003597. The next prime is 2890204003669. The reversal of 2890204003600 is 63004020982.

The square root of 2890204003600 is 1700060.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110221344016 + 2779982659584 = 331996^2 + 1667328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5678200146 + ... + 5678200654.

Almost surely, 2^{2890204003600} is an apocalyptic number.

2890204003600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2890204003600 is the 1700060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890204003600

2890204003600 is an abundant number, since it is smaller than the sum of its proper divisors (4109090240607).

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

2890204003600 is an frugal number, since it uses more digits than its factorization.

2890204003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 2890204003600 in words is "two trillion, eight hundred ninety billion, two hundred four million, three thousand, six hundred".