2056312440 has 640 divisors, whose sum is σ = 8752564800. Its totient is φ = 426746880.

The previous prime is 2056312421. The next prime is 2056312451. The reversal of 2056312440 is 442136502.

2056312440 is a `hidden beast` number, since 2 + 0 + 5 + 631 + 24 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33710010 + ... + 33710070.

Almost surely, 2^2056312440 is an apocalyptic number.

2056312440 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 2056312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376282400).

2056312440 is an abundant number, since it is smaller than the sum of its proper divisors (6696252360).

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

2056312440 is a wasteful number, since it uses less digits than its factorization.

2056312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2056312440 is about 45346.5813485427. The cubic root of 2056312440 is about 1271.6366441677.

Adding to 2056312440 its reverse (442136502), we get a palindrome (2498448942).

The spelling of 2056312440 in words is "two billion, fifty-six million, three hundred twelve thousand, four hundred forty".