2180395208640 has 896 divisors, whose sum is σ = 8382446714880. Its totient is φ = 473953075200.

The previous prime is 2180395208639. The next prime is 2180395208657. The reversal of 2180395208640 is 468025930812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2180395208640.

It is a congruent number.

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, 447625405 + ... + 447630275.

It is an arithmetic number, because the mean of its divisors is an integer number (9355409280).

Almost surely, 2^{2180395208640} is an apocalyptic number.

2180395208640 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 2180395208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191223357440).

2180395208640 is an abundant number, since it is smaller than the sum of its proper divisors (6202051506240).

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

2180395208640 is a wasteful number, since it uses less digits than its factorization.

2180395208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 2180395208640 in words is "two trillion, one hundred eighty billion, three hundred ninety-five million, two hundred eight thousand, six hundred forty".