2171452720320 has 2688 divisors, whose sum is σ = 9652938946560. Its totient is φ = 441447874560.

The previous prime is 2171452720309. The next prime is 2171452720331. The reversal of 2171452720320 is 230272541712.

2171452720320 is a `hidden beast` number, since 2 + 171 + 452 + 7 + 2 + 0 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2171452720309) and next prime (2171452720331).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10291245015 + ... + 10291245225.

It is an arithmetic number, because the mean of its divisors is an integer number (3591123120).

Almost surely, 2^{2171452720320} is an apocalyptic number.

2171452720320 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 2171452720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826469473280).

2171452720320 is an abundant number, since it is smaller than the sum of its proper divisors (7481486226240).

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

2171452720320 is a wasteful number, since it uses less digits than its factorization.

2171452720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 2171452720320 in words is "two trillion, one hundred seventy-one billion, four hundred fifty-two million, seven hundred twenty thousand, three hundred twenty".