2558542140 has 672 divisors, whose sum is σ = 10470974976. Its totient is φ = 509483520.

The previous prime is 2558542099. The next prime is 2558542157. The reversal of 2558542140 is 412458552.

2558542140 is a `hidden beast` number, since 25 + 58 + 542 + 1 + 40 = 666.

It is a super-2 number, since 2×2558542140² = 13092275764311559200, which contains 22 as substring.

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 = 2558542095 and 2558542104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 48274354 + ... + 48274406.

It is an arithmetic number, because the mean of its divisors is an integer number (15581808).

Almost surely, 2^2558542140 is an apocalyptic number.

2558542140 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 2558542140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235487488).

2558542140 is an abundant number, since it is smaller than the sum of its proper divisors (7912432836).

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

2558542140 is a wasteful number, since it uses less digits than its factorization.

2558542140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 2558542140 is about 50582.0337669414. The cubic root of 2558542140 is about 1367.7210303726.

The spelling of 2558542140 in words is "two billion, five hundred fifty-eight million, five hundred forty-two thousand, one hundred forty".