2541582390978 has 192 divisors, whose sum is σ = 5983017955200. Its totient is φ = 777292692480.

The previous prime is 2541582390967. The next prime is 2541582391043. The reversal of 2541582390978 is 8790932851452.

2541582390978 is a `hidden beast` number, since 2 + 5 + 4 + 158 + 2 + 390 + 97 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370651726 + ... + 370658582.

It is an arithmetic number, because the mean of its divisors is an integer number (31161551850).

Almost surely, 2^{2541582390978} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541582390978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991508977600).

2541582390978 is an abundant number, since it is smaller than the sum of its proper divisors (3441435564222).

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

2541582390978 is a wasteful number, since it uses less digits than its factorization.

2541582390978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2541582390978 in words is "two trillion, five hundred forty-one billion, five hundred eighty-two million, three hundred ninety thousand, nine hundred seventy-eight".