2090318400 has 315 divisors, whose sum is σ = 7744460889. Its totient is φ = 553029120.

The previous prime is 2090318389. The next prime is 2090318401. The reversal of 2090318400 is 48130902.

The square root of 2090318400 is 45720.

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

2090318400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 752514624 + 1337803776 = 27432^2 + 36576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2090318401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16459137 + ... + 16459263.

Almost surely, 2^2090318400 is an apocalyptic number.

2090318400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2090318400 is the 45720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090318400

2090318400 is an abundant number, since it is smaller than the sum of its proper divisors (5654142489).

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

2090318400 is an equidigital number, since it uses as much as digits as its factorization.

2090318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 2090318400 is about 1278.6081876775.

The spelling of 2090318400 in words is "two billion, ninety million, three hundred eighteen thousand, four hundred".