2320411484160 has 2240 divisors, whose sum is σ = 10742332575744. Its totient is φ = 465017241600.

The previous prime is 2320411484137. The next prime is 2320411484177. The reversal of 2320411484160 is 614841140232.

2320411484160 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 4 + 11 + 484 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-4 number, since 4×2320411484160⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7919492974 + ... + 7919493266.

Almost surely, 2^{2320411484160} is an apocalyptic number.

2320411484160 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 2320411484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371166287872).

2320411484160 is an abundant number, since it is smaller than the sum of its proper divisors (8421921091584).

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

2320411484160 is a wasteful number, since it uses less digits than its factorization.

2320411484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2320411484160 in words is "two trillion, three hundred twenty billion, four hundred eleven million, four hundred eighty-four thousand, one hundred sixty".