2104588518400 has 99 divisors (see below), whose sum is σ = 5217406428549. Its totient is φ = 841742561280.

The previous prime is 2104588518371. The next prime is 2104588518401. The reversal of 2104588518400 is 48158854012.

It is a happy number.

The square root of 2104588518400 is 1450720.

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

It can be written as a sum of positive squares in only one way, i.e., 757651866624 + 1346936651776 = 870432^2 + 1160576^2 .

It is a super-2 number, since 2×2104588518400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2104588518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232110667 + ... + 232119733.

Almost surely, 2^{2104588518400} is an apocalyptic number.

2104588518400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2104588518400 is the 1450720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104588518400

2104588518400 is an abundant number, since it is smaller than the sum of its proper divisors (3112817910149).

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

2104588518400 is an frugal number, since it uses more digits than its factorization.

2104588518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18164 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The spelling of 2104588518400 in words is "two trillion, one hundred four billion, five hundred eighty-eight million, five hundred eighteen thousand, four hundred".