2464357680 has 120 divisors (see below), whose sum is σ = 8311343040. Its totient is φ = 654366720.

The previous prime is 2464357667. The next prime is 2464357691. The reversal of 2464357680 is 867534642.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164920 + ... + 179240.

It is an arithmetic number, because the mean of its divisors is an integer number (69261192).

Almost surely, 2^2464357680 is an apocalyptic number.

2464357680 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 2464357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155671520).

2464357680 is an abundant number, since it is smaller than the sum of its proper divisors (5846985360).

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

2464357680 is a wasteful number, since it uses less digits than its factorization.

2464357680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14579 (or 14570 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2464357680 is about 49642.2972876961. The cubic root of 2464357680 is about 1350.7280352942.

The spelling of 2464357680 in words is "two billion, four hundred sixty-four million, three hundred fifty-seven thousand, six hundred eighty".