2541555040 has 48 divisors (see below), whose sum is σ = 6026847120. Its totient is φ = 1012825600.

The previous prime is 2541555031. The next prime is 2541555059. The reversal of 2541555040 is 405551452.

2541555040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2541554993 and 2541555011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13515 + ... + 72565.

It is an arithmetic number, because the mean of its divisors is an integer number (125559315).

Almost surely, 2^2541555040 is an apocalyptic number.

2541555040 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 2541555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013423560).

2541555040 is an abundant number, since it is smaller than the sum of its proper divisors (3485292080).

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

2541555040 is a wasteful number, since it uses less digits than its factorization.

2541555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59335 (or 59327 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The square root of 2541555040 is about 50413.8377828945. The cubic root of 2541555040 is about 1364.6873726652.

The spelling of 2541555040 in words is "two billion, five hundred forty-one million, five hundred fifty-five thousand, forty".