2056341540 has 96 divisors (see below), whose sum is σ = 6298782336. Its totient is φ = 497111040.

The previous prime is 2056341527. The next prime is 2056341559. The reversal of 2056341540 is 451436502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2056341498 and 2056341507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242004 + ... + 250356.

It is an arithmetic number, because the mean of its divisors is an integer number (65612316).

Almost surely, 2^2056341540 is an apocalyptic number.

2056341540 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 2056341540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149391168).

2056341540 is an abundant number, since it is smaller than the sum of its proper divisors (4242440796).

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

2056341540 is a wasteful number, since it uses less digits than its factorization.

2056341540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2056341540 is about 45346.9022095225. The cubic root of 2056341540 is about 1271.6426426809.

The spelling of 2056341540 in words is "two billion, fifty-six million, three hundred forty-one thousand, five hundred forty".