2558157441840 has 5760 divisors, whose sum is σ = 13796536965120. Its totient is φ = 425681879040.

The previous prime is 2558157441817. The next prime is 2558157441913. The reversal of 2558157441840 is 481447518552.

2558157441840 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 157 + 441 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 69139390302 + ... + 69139390338.

It is an arithmetic number, because the mean of its divisors is an integer number (2395232112).

Almost surely, 2^{2558157441840} is an apocalyptic number.

2558157441840 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 2558157441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898268482560).

2558157441840 is an abundant number, since it is smaller than the sum of its proper divisors (11238379523280).

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

2558157441840 is a wasteful number, since it uses less digits than its factorization.

2558157441840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 2558157441840 in words is "two trillion, five hundred fifty-eight billion, one hundred fifty-seven million, four hundred forty-one thousand, eight hundred forty".