2056066467840 has 2688 divisors, whose sum is σ = 9538899552000. Its totient is φ = 421382062080.

The previous prime is 2056066467823. The next prime is 2056066467853. The reversal of 2056066467840 is 487646606502.

2056066467840 is a `hidden beast` number, since 2 + 0 + 560 + 6 + 6 + 4 + 6 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28165294044 + ... + 28165294116.

It is an arithmetic number, because the mean of its divisors is an integer number (3548697750).

Almost surely, 2^{2056066467840} is an apocalyptic number.

2056066467840 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 2056066467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769449776000).

2056066467840 is an abundant number, since it is smaller than the sum of its proper divisors (7482833084160).

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

2056066467840 is an frugal number, since it uses more digits than its factorization.

2056066467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2056066467840 in words is "two trillion, fifty-six billion, sixty-six million, four hundred sixty-seven thousand, eight hundred forty".