2481167680 has 112 divisors (see below), whose sum is σ = 6359231376. Its totient is φ = 918650880.

The previous prime is 2481167669. The next prime is 2481167683. The reversal of 2481167680 is 867611842.

It can be written as a sum of positive squares in 8 ways, for example, as 9884736 + 2471282944 = 3144^2 + 49712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481167683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328102 + ... + 335578.

Almost surely, 2^2481167680 is an apocalyptic number.

2481167680 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 2481167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179615688).

2481167680 is an abundant number, since it is smaller than the sum of its proper divisors (3878063696).

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

2481167680 is a wasteful number, since it uses less digits than its factorization.

2481167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 2481167680 is about 49811.3208016009. The cubic root of 2481167680 is about 1353.7922963583.

The spelling of 2481167680 in words is "two billion, four hundred eighty-one million, one hundred sixty-seven thousand, six hundred eighty".