2172395384640 has 336 divisors, whose sum is σ = 8298598795200. Its totient is φ = 534743119872.

The previous prime is 2172395384561. The next prime is 2172395384641. The reversal of 2172395384640 is 464835932712.

2172395384640 is a `hidden beast` number, since 2 + 1 + 7 + 23 + 9 + 538 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172395384641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716271 + ... + 2204049.

It is an arithmetic number, because the mean of its divisors is an integer number (24698210700).

It is a 1-persistent number, because it is pandigital, but 2⋅2172395384640 = 4344790769280 is not.

Almost surely, 2^{2172395384640} is an apocalyptic number.

2172395384640 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 2172395384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149299397600).

2172395384640 is an abundant number, since it is smaller than the sum of its proper divisors (6126203410560).

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

2172395384640 is a wasteful number, since it uses less digits than its factorization.

2172395384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487831 (or 1487802 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2172395384640 in words is "two trillion, one hundred seventy-two billion, three hundred ninety-five million, three hundred eighty-four thousand, six hundred forty".