2056035072 has 432 divisors, whose sum is σ = 7086041088. Its totient is φ = 517570560.

The previous prime is 2056035061. The next prime is 2056035089. The reversal of 2056035072 is 2705306502.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 28164828 + ... + 28164900.

Almost surely, 2^2056035072 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 2056035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543020544).

2056035072 is an abundant number, since it is smaller than the sum of its proper divisors (5030006016).

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

2056035072 is a wasteful number, since it uses less digits than its factorization.

2056035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2056035072 is about 45343.5229332702. The cubic root of 2056035072 is about 1271.5794662205.

The spelling of 2056035072 in words is "two billion, fifty-six million, thirty-five thousand, seventy-two".