2176215040000 has 225 divisors, whose sum is σ = 5450453703541. Its totient is φ = 868597760000.

The previous prime is 2176215039917. The next prime is 2176215040019. The reversal of 2176215040000 is 405126712.

The square root of 2176215040000 is 1475200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1963406278656 + 212808761344 = 1401216^2 + 461312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4720639770 + ... + 4720640230.

Almost surely, 2^{2176215040000} is an apocalyptic number.

2176215040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2176215040000 is the 1475200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2176215040000

2176215040000 is an abundant number, since it is smaller than the sum of its proper divisors (3274238663541).

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

2176215040000 is an frugal number, since it uses more digits than its factorization.

2176215040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 2176215040000 in words is "two trillion, one hundred seventy-six billion, two hundred fifteen million, forty thousand".