2160210587040 has 768 divisors, whose sum is σ = 8532905472000. Its totient is φ = 505810759680.

The previous prime is 2160210587039. The next prime is 2160210587071. The reversal of 2160210587040 is 407850120612.

2160210587040 is a `hidden beast` number, since 2 + 1 + 60 + 2 + 10 + 587 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2160210586986 and 2160210587004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244390941 + ... + 244399779.

It is an arithmetic number, because the mean of its divisors is an integer number (11110554000).

Almost surely, 2^{2160210587040} is an apocalyptic number.

2160210587040 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 2160210587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266452736000).

2160210587040 is an abundant number, since it is smaller than the sum of its proper divisors (6372694884960).

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

2160210587040 is a wasteful number, since it uses less digits than its factorization.

2160210587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9050 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2160210587040 in words is "two trillion, one hundred sixty billion, two hundred ten million, five hundred eighty-seven thousand, forty".