2481741504 has 336 divisors, whose sum is σ = 8187903360. Its totient is φ = 739031040.

The previous prime is 2481741503. The next prime is 2481741527. The reversal of 2481741504 is 4051471842.

It is a happy number.

2481741504 is a `hidden beast` number, since 2 + 4 + 81 + 74 + 1 + 504 = 666.

2481741504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481741503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15225327 + ... + 15225489.

It is an arithmetic number, because the mean of its divisors is an integer number (24368760).

Almost surely, 2^2481741504 is an apocalyptic number.

2481741504 is a gapful number since it is divisible by the number (24) 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 2481741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093951680).

2481741504 is an abundant number, since it is smaller than the sum of its proper divisors (5706161856).

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

2481741504 is a wasteful number, since it uses less digits than its factorization.

2481741504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2481741504 is about 49817.0804443617. The cubic root of 2481741504 is about 1353.8966529532.

The spelling of 2481741504 in words is "two billion, four hundred eighty-one million, seven hundred forty-one thousand, five hundred four".