2464349680 has 80 divisors (see below), whose sum is σ = 6244912800. Its totient is φ = 898919424.

The previous prime is 2464349663. The next prime is 2464349683. The reversal of 2464349680 is 869434642.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2464349680² = 12146038690632204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2464349680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464349683) 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, 72046 + ... + 100594.

It is an arithmetic number, because the mean of its divisors is an integer number (78061410).

Almost surely, 2^2464349680 is an apocalyptic number.

2464349680 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 2464349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122456400).

2464349680 is an abundant number, since it is smaller than the sum of its proper divisors (3780563120).

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

2464349680 is a wasteful number, since it uses less digits than its factorization.

2464349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28658 (or 28652 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The square root of 2464349680 is about 49642.2167111824. The cubic root of 2464349680 is about 1350.7265736779.

The spelling of 2464349680 in words is "two billion, four hundred sixty-four million, three hundred forty-nine thousand, six hundred eighty".