2464167680 has 288 divisors, whose sum is σ = 6972231168. Its totient is φ = 825753600.

The previous prime is 2464167623. The next prime is 2464167683. The reversal of 2464167680 is 867614642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464167683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8769140 + ... + 8769420.

It is an arithmetic number, because the mean of its divisors is an integer number (24209136).

Almost surely, 2^2464167680 is an apocalyptic number.

2464167680 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 2464167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486115584).

2464167680 is an abundant number, since it is smaller than the sum of its proper divisors (4508063488).

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

2464167680 is a wasteful number, since it uses less digits than its factorization.

2464167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 2464167680 is about 49640.3835601620. The cubic root of 2464167680 is about 1350.6933210527.

The spelling of 2464167680 in words is "two billion, four hundred sixty-four million, one hundred sixty-seven thousand, six hundred eighty".