2541310380 has 144 divisors (see below), whose sum is σ = 9024934464. Its totient is φ = 566691840.

The previous prime is 2541310379. The next prime is 2541310393. The reversal of 2541310380 is 830131452.

It is a happy number.

2541310380 is a `hidden beast` number, since 254 + 1 + 31 + 0 + 380 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27064 + ... + 76256.

It is an arithmetic number, because the mean of its divisors is an integer number (62673156).

Almost surely, 2^2541310380 is an apocalyptic number.

2541310380 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 2541310380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512467232).

2541310380 is an abundant number, since it is smaller than the sum of its proper divisors (6483624084).

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

2541310380 is a wasteful number, since it uses less digits than its factorization.

2541310380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49256 (or 49251 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2541310380 is about 50411.4112081779. The cubic root of 2541310380 is about 1364.6435812171.

The spelling of 2541310380 in words is "two billion, five hundred forty-one million, three hundred ten thousand, three hundred eighty".