2171084371600 has 45 divisors (see below), whose sum is σ = 5216101003483. Its totient is φ = 868421960960.

The previous prime is 2171084371553. The next prime is 2171084371639. The reversal of 2171084371600 is 61734801712.

It is a happy number.

The square root of 2171084371600 is 1473460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 221776948624 + 1949307422976 = 470932^2 + 1396176^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29432364 + ... + 29506036.

Almost surely, 2^{2171084371600} is an apocalyptic number.

2171084371600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2171084371600 is the 1473460-th square number.

It is an amenable number.

2171084371600 is an abundant number, since it is smaller than the sum of its proper divisors (3045016631883).

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

2171084371600 is an frugal number, since it uses more digits than its factorization.

2171084371600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147364 (or 73680 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 2171084371600 in words is "two trillion, one hundred seventy-one billion, eighty-four million, three hundred seventy-one thousand, six hundred".