2484541080 has 512 divisors, whose sum is σ = 10195200000. Its totient is φ = 536481792.

The previous prime is 2484541079. The next prime is 2484541093. The reversal of 2484541080 is 801454842.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 7038184 + ... + 7038536.

It is an arithmetic number, because the mean of its divisors is an integer number (19912500).

Almost surely, 2^2484541080 is an apocalyptic number.

2484541080 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 2484541080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097600000).

2484541080 is an abundant number, since it is smaller than the sum of its proper divisors (7710658920).

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

2484541080 is a wasteful number, since it uses less digits than its factorization.

2484541080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2484541080 is about 49845.1710800555. The cubic root of 2484541080 is about 1354.4055579847.

The spelling of 2484541080 in words is "two billion, four hundred eighty-four million, five hundred forty-one thousand, eighty".