2114493780672 has 336 divisors, whose sum is σ = 7618185050112. Its totient is φ = 545802762240.

The previous prime is 2114493780671. The next prime is 2114493780673. The reversal of 2114493780672 is 2760873944112.

2114493780672 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 493 + 7 + 80 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2114493780671) and next prime (2114493780673).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2114493780671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2034397 + ... + 2892707.

It is an arithmetic number, because the mean of its divisors is an integer number (22673169792).

Almost surely, 2^{2114493780672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114493780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809092525056).

2114493780672 is an abundant number, since it is smaller than the sum of its proper divisors (5503691269440).

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

2114493780672 is a wasteful number, since it uses less digits than its factorization.

2114493780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858396 (or 858383 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2114493780672 in words is "two trillion, one hundred fourteen billion, four hundred ninety-three million, seven hundred eighty thousand, six hundred seventy-two".