2157306480000 has 1280 divisors, whose sum is σ = 9245890368000. Its totient is φ = 484807680000.

The previous prime is 2157306479983. The next prime is 2157306480013. The reversal of 2157306480000 is 846037512.

2157306480000 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 3 + 0 + 648 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 922318831 + ... + 922321169.

It is an arithmetic number, because the mean of its divisors is an integer number (7223351850).

Almost surely, 2^{2157306480000} is an apocalyptic number.

2157306480000 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 2157306480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622945184000).

2157306480000 is an abundant number, since it is smaller than the sum of its proper divisors (7088583888000).

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

2157306480000 is an equidigital number, since it uses as much as digits as its factorization.

2157306480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2157306480000 in words is "two trillion, one hundred fifty-seven billion, three hundred six million, four hundred eighty thousand".