2361415680 has 576 divisors, whose sum is σ = 9265445280. Its totient is φ = 573308928.

The previous prime is 2361415673. The next prime is 2361415687. The reversal of 2361415680 is 865141632.

It is a happy number.

2361415680 is a `hidden beast` number, since 23 + 614 + 15 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2361415673) and next prime (2361415687).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361415687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32348124 + ... + 32348196.

Almost surely, 2^2361415680 is an apocalyptic number.

2361415680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2361415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632722640).

2361415680 is an abundant number, since it is smaller than the sum of its proper divisors (6904029600).

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

2361415680 is an equidigital number, since it uses as much as digits as its factorization.

2361415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2361415680 is about 48594.3996773291. The cubic root of 2361415680 is about 1331.6522101484.

The spelling of 2361415680 in words is "two billion, three hundred sixty-one million, four hundred fifteen thousand, six hundred eighty".