2560055040 has 432 divisors, whose sum is σ = 9374601600. Its totient is φ = 644087808.

The previous prime is 2560055039. The next prime is 2560055053. The reversal of 2560055040 is 405500652.

2560055040 is a `hidden beast` number, since 2 + 5 + 600 + 5 + 50 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2560054995 and 2560055013.

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, 26392272 + ... + 26392368.

Almost surely, 2^2560055040 is an apocalyptic number.

2560055040 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 2560055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687300800).

2560055040 is an abundant number, since it is smaller than the sum of its proper divisors (6814546560).

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

2560055040 is a wasteful number, since it uses less digits than its factorization.

2560055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2560055040 is about 50596.9864715281. The cubic root of 2560055040 is about 1367.9905611332.

Adding to 2560055040 its reverse (405500652), we get a palindrome (2965555692).

It can be divided in two parts, 25600550 and 40, that added together give a triangular number (25600590 = T₇₁₅₅).

The spelling of 2560055040 in words is "two billion, five hundred sixty million, fifty-five thousand, forty".