2056219872 has 192 divisors, whose sum is σ = 6482488320. Its totient is φ = 557973504.

The previous prime is 2056219829. The next prime is 2056219897. The reversal of 2056219872 is 2789126502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673504 + ... + 2674272.

It is an arithmetic number, because the mean of its divisors is an integer number (33762960).

Almost surely, 2^2056219872 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 2056219872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241244160).

2056219872 is an abundant number, since it is smaller than the sum of its proper divisors (4426268448).

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

2056219872 is a wasteful number, since it uses less digits than its factorization.

2056219872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2056219872 is about 45345.5606647442. The cubic root of 2056219872 is about 1271.6175623354.

The spelling of 2056219872 in words is "two billion, fifty-six million, two hundred nineteen thousand, eight hundred seventy-two".