2119301720064 has 144 divisors (see below), whose sum is σ = 6143701227300. Its totient is φ = 703806111744.

The previous prime is 2119301720057. The next prime is 2119301720087. The reversal of 2119301720064 is 4600271039112.

It can be written as a sum of positive squares in 2 ways, for example, as 2105517081600 + 13784638464 = 1451040^2 + 117408^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4744492 + ... + 5171924.

Almost surely, 2^{2119301720064} is an apocalyptic number.

2119301720064 is a gapful number since it is divisible by the number (24) 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 2119301720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071850613650).

2119301720064 is an abundant number, since it is smaller than the sum of its proper divisors (4024399507236).

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

2119301720064 is a wasteful number, since it uses less digits than its factorization.

2119301720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427730 (or 427707 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 2119301720064 its reverse (4600271039112), we get a palindrome (6719572759176).

The spelling of 2119301720064 in words is "two trillion, one hundred nineteen billion, three hundred one million, seven hundred twenty thousand, sixty-four".