2558615040 has 320 divisors, whose sum is σ = 9220749120. Its totient is φ = 680804352.

The previous prime is 2558615023. The next prime is 2558615041. The reversal of 2558615040 is 405168552.

2558615040 is a `hidden beast` number, since 2 + 558 + 61 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 2558614986 and 2558615004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558615041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598492 + ... + 5598948.

It is an arithmetic number, because the mean of its divisors is an integer number (28814841).

Almost surely, 2^2558615040 is an apocalyptic number.

2558615040 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 2558615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610374560).

2558615040 is an abundant number, since it is smaller than the sum of its proper divisors (6662134080).

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

2558615040 is an frugal number, since it uses more digits than its factorization.

2558615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2558615040 is about 50582.7543734028. The cubic root of 2558615040 is about 1367.7340203112.

The spelling of 2558615040 in words is "two billion, five hundred fifty-eight million, six hundred fifteen thousand, forty".