2361960000 has 385 divisors, whose sum is σ = 8785290151. Its totient is φ = 629856000.

The previous prime is 2361959993. The next prime is 2361960001. The reversal of 2361960000 is 691632.

It is a happy number.

The square root of 2361960000 is 48600.

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 185177664 + 2176782336 = 13608^2 + 46656^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2361960001) 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 54 ways as a sum of consecutive naturals, for example, 472391998 + ... + 472392002.

Almost surely, 2^2361960000 is an apocalyptic number.

2361960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2361960000 is the 48600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2361960000

2361960000 is an abundant number, since it is smaller than the sum of its proper divisors (6423330151).

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

2361960000 is an frugal number, since it uses more digits than its factorization.

2361960000 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 2361960000 is about 1331.7545201385.

It can be divided in two parts, 2361 and 960000, that added together give a square (962361 = 981²).

The spelling of 2361960000 in words is "two billion, three hundred sixty-one million, nine hundred sixty thousand".