2361880080 has 320 divisors, whose sum is σ = 9599385600. Its totient is φ = 522339840.

The previous prime is 2361880069. The next prime is 2361880093. The reversal of 2361880080 is 800881632.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466201 + ... + 471239.

It is an arithmetic number, because the mean of its divisors is an integer number (29998080).

Almost surely, 2^2361880080 is an apocalyptic number.

2361880080 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 2361880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799692800).

2361880080 is an abundant number, since it is smaller than the sum of its proper divisors (7237505520).

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

2361880080 is a wasteful number, since it uses less digits than its factorization.

2361880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2361880080 is about 48599.1777708224. The cubic root of 2361880080 is about 1331.7394994181.

The spelling of 2361880080 in words is "two billion, three hundred sixty-one million, eight hundred eighty thousand, eighty".