2056706100 has 144 divisors (see below), whose sum is σ = 6840187200. Its totient is φ = 529522560.

The previous prime is 2056706089. The next prime is 2056706101. The reversal of 2056706100 is 16076502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056706101) 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, 65167 + ... + 91433.

It is an arithmetic number, because the mean of its divisors is an integer number (47501300).

Almost surely, 2^2056706100 is an apocalyptic number.

2056706100 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 2056706100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420093600).

2056706100 is an abundant number, since it is smaller than the sum of its proper divisors (4783481100).

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

2056706100 is a wasteful number, since it uses less digits than its factorization.

2056706100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26319 (or 26306 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2056706100 is about 45350.9217105893. The cubic root of 2056706100 is about 1271.7177862696.

The spelling of 2056706100 in words is "two billion, fifty-six million, seven hundred six thousand, one hundred".