2558096640 has 360 divisors, whose sum is σ = 9989911008. Its totient is φ = 619868160.

The previous prime is 2558096633. The next prime is 2558096663. The reversal of 2558096640 is 466908552.

2558096640 is a `hidden beast` number, since 2 + 5 + 580 + 9 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 1139359 + ... + 1141601.

Almost surely, 2^2558096640 is an apocalyptic number.

2558096640 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 2558096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994955504).

2558096640 is an abundant number, since it is smaller than the sum of its proper divisors (7431814368).

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

2558096640 is a wasteful number, since it uses less digits than its factorization.

2558096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2558096640 is about 50577.6298377059. The cubic root of 2558096640 is about 1367.6416420524.

The spelling of 2558096640 in words is "two billion, five hundred fifty-eight million, ninety-six thousand, six hundred forty".