1866240000 has 455 divisors, whose sum is σ = 6992107903. Its totient is φ = 497664000.

The previous prime is 1866239971. The next prime is 1866240007. The reversal of 1866240000 is 426681.

The square root of 1866240000 is 43200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 1719926784 = 12096^2 + 41472^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1866240007) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 373247998 + ... + 373248002.

Almost surely, 2^1866240000 is an apocalyptic number.

1866240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1866240000 is the 43200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1866240000

1866240000 is an abundant number, since it is smaller than the sum of its proper divisors (5125867903).

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

1866240000 is an frugal number, since it uses more digits than its factorization.

1866240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 1866240000 is about 1231.1826816072.

Multiplying 1866240000 by its product of nonzero digits (2304), we get a 4-th power (4299816960000 = 1440⁴).

1866240000 divided by its product of nonzero digits (2304) gives a 4-th power (810000 = 30⁴).

Adding to 1866240000 its reverse (426681), we get a palindrome (1866666681).

The spelling of 1866240000 in words is "one billion, eight hundred sixty-six million, two hundred forty thousand".