2086662400 has 81 divisors (see below), whose sum is σ = 5173876533. Its totient is φ = 833203200.

The previous prime is 2086662379. The next prime is 2086662439. The reversal of 2086662400 is 42666802.

The square root of 2086662400 is 45680.

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., 751198464 + 1335463936 = 27408^2 + 36544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3654115 + ... + 3654685.

Almost surely, 2^2086662400 is an apocalyptic number.

2086662400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2086662400 is the 45680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086662400

2086662400 is an abundant number, since it is smaller than the sum of its proper divisors (3087214133).

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

2086662400 is an frugal number, since it uses more digits than its factorization.

2086662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The cubic root of 2086662400 is about 1277.8623173360.

The spelling of 2086662400 in words is "two billion, eighty-six million, six hundred sixty-two thousand, four hundred".