2108646400 has 297 divisors, whose sum is σ = 6232175427. Its totient is φ = 705331200.

The previous prime is 2108646389. The next prime is 2108646401. The reversal of 2108646400 is 46468012.

The square root of 2108646400 is 45920.

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 887563264 + 1221083136 = 29792^2 + 34944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2108646401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51430380 + ... + 51430420.

Almost surely, 2^2108646400 is an apocalyptic number.

2108646400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2108646400 is the 45920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108646400

2108646400 is an abundant number, since it is smaller than the sum of its proper divisors (4123529027).

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

2108646400 is an equidigital number, since it uses as much as digits as its factorization.

2108646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 2108646400 is about 1282.3342821468.

Multiplying 2108646400 by its product of nonzero digits (9216), we get a square (19433285222400 = 4408320²).

The spelling of 2108646400 in words is "two billion, one hundred eight million, six hundred forty-six thousand, four hundred".