2145093269760 has 1728 divisors, whose sum is σ = 9285676807680. Its totient is φ = 463743221760.

The previous prime is 2145093269719. The next prime is 2145093269771. The reversal of 2145093269760 is 679623905412.

2145093269760 is a `hidden beast` number, since 2 + 1 + 4 + 509 + 3 + 2 + 69 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2145093269697 and 2145093269706.

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 191 ways as a sum of consecutive naturals, for example, 3346479040 + ... + 3346479680.

It is an arithmetic number, because the mean of its divisors is an integer number (5373655560).

Almost surely, 2^{2145093269760} is an apocalyptic number.

2145093269760 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 2145093269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642838403840).

2145093269760 is an abundant number, since it is smaller than the sum of its proper divisors (7140583537920).

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

2145093269760 is an equidigital number, since it uses as much as digits as its factorization.

2145093269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2145093269760 in words is "two trillion, one hundred forty-five billion, ninety-three million, two hundred sixty-nine thousand, seven hundred sixty".