2056251744 has 240 divisors, whose sum is σ = 6520409280. Its totient is φ = 633588480.

The previous prime is 2056251733. The next prime is 2056251761. The reversal of 2056251744 is 4471526502.

It is a happy number.

2056251744 is a `hidden beast` number, since 2 + 0 + 562 + 51 + 7 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2056251699 and 2056251708.

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 39 ways as a sum of consecutive naturals, for example, 2117179 + ... + 2118149.

It is an arithmetic number, because the mean of its divisors is an integer number (27168372).

Almost surely, 2^2056251744 is an apocalyptic number.

2056251744 is a gapful number since it is divisible by the number (24) 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 2056251744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260204640).

2056251744 is an abundant number, since it is smaller than the sum of its proper divisors (4464157536).

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

2056251744 is a wasteful number, since it uses less digits than its factorization.

2056251744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2056251744 is about 45345.9120980050. The cubic root of 2056251744 is about 1271.6241324476.

The spelling of 2056251744 in words is "two billion, fifty-six million, two hundred fifty-one thousand, seven hundred forty-four".