2361984240000 has 2880 divisors, whose sum is σ = 10821477268800. Its totient is φ = 449971200000.

The previous prime is 2361984239941. The next prime is 2361984240029. The reversal of 2361984240000 is 424891632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 76193039985 + ... + 76193040015.

It is an arithmetic number, because the mean of its divisors is an integer number (3757457385).

Almost surely, 2^{2361984240000} is an apocalyptic number.

2361984240000 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 2361984240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410738634400).

2361984240000 is an abundant number, since it is smaller than the sum of its proper divisors (8459493028800).

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

2361984240000 is a wasteful number, since it uses less digits than its factorization.

2361984240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 2361984240000 in words is "two trillion, three hundred sixty-one billion, nine hundred eighty-four million, two hundred forty thousand".