2481406720 has 108 divisors (see below), whose sum is σ = 6436686816. Its totient is φ = 916131840.

The previous prime is 2481406709. The next prime is 2481406747. The reversal of 2481406720 is 276041842.

It is a happy number.

It is a super-3 number, since 3×2481406720³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210585 + ... + 222055.

It is an arithmetic number, because the mean of its divisors is an integer number (59598952).

Almost surely, 2^2481406720 is an apocalyptic number.

2481406720 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 2481406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218343408).

2481406720 is an abundant number, since it is smaller than the sum of its proper divisors (3955280096).

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

2481406720 is a wasteful number, since it uses less digits than its factorization.

2481406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2481406720 is about 49813.7201983550. The cubic root of 2481406720 is about 1353.8357705285.

The spelling of 2481406720 in words is "two billion, four hundred eighty-one million, four hundred six thousand, seven hundred twenty".