2541791778240 has 896 divisors, whose sum is σ = 9719613775872. Its totient is φ = 554656481280.

The previous prime is 2541791778233. The next prime is 2541791778241. The reversal of 2541791778240 is 428771971452.

It is a super-2 number, since 2×2541791778240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541791778241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 947367939 + ... + 947370621.

It is an arithmetic number, because the mean of its divisors is an integer number (10847783232).

Almost surely, 2^{2541791778240} is an apocalyptic number.

2541791778240 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 2541791778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859806887936).

2541791778240 is an abundant number, since it is smaller than the sum of its proper divisors (7177821997632).

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

2541791778240 is a wasteful number, since it uses less digits than its factorization.

2541791778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 2541791778240 in words is "two trillion, five hundred forty-one billion, seven hundred ninety-one million, seven hundred seventy-eight thousand, two hundred forty".