2156827680 has 288 divisors, whose sum is σ = 8640463104. Its totient is φ = 479582208.

The previous prime is 2156827663. The next prime is 2156827709. The reversal of 2156827680 is 867286512.

2156827680 is a `hidden beast` number, since 2 + 1 + 568 + 2 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370069 + ... + 375851.

It is an arithmetic number, because the mean of its divisors is an integer number (30001608).

Almost surely, 2^2156827680 is an apocalyptic number.

2156827680 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 2156827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320231552).

2156827680 is an abundant number, since it is smaller than the sum of its proper divisors (6483635424).

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

2156827680 is a wasteful number, since it uses less digits than its factorization.

2156827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2156827680 is about 46441.6588851001. The cubic root of 2156827680 is about 1292.0276746781.

The spelling of 2156827680 in words is "two billion, one hundred fifty-six million, eight hundred twenty-seven thousand, six hundred eighty".