2056129920 has 512 divisors, whose sum is σ = 8009366400. Its totient is φ = 501645312.

The previous prime is 2056129913. The next prime is 2056129949. The reversal of 2056129920 is 299216502.

It is a happy number.

2056129920 is a `hidden beast` number, since 2 + 0 + 561 + 2 + 9 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18195784 + ... + 18195896.

Almost surely, 2^2056129920 is an apocalyptic number.

2056129920 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 2056129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004683200).

2056129920 is an abundant number, since it is smaller than the sum of its proper divisors (5953236480).

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

2056129920 is an equidigital number, since it uses as much as digits as its factorization.

2056129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2056129920 is about 45344.5688037719. The cubic root of 2056129920 is about 1271.5990192129.

The spelling of 2056129920 in words is "two billion, fifty-six million, one hundred twenty-nine thousand, nine hundred twenty".