2432367680 has 84 divisors (see below), whose sum is σ = 5903751972. Its totient is φ = 954286080.

The previous prime is 2432367677. The next prime is 2432367727. The reversal of 2432367680 is 867632342.

It can be written as a sum of positive squares in 6 ways, for example, as 493550656 + 1938817024 = 22216^2 + 44032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6890384 + ... + 6890736.

Almost surely, 2^2432367680 is an apocalyptic number.

2432367680 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 2432367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951875986).

2432367680 is an abundant number, since it is smaller than the sum of its proper divisors (3471384292).

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

2432367680 is an frugal number, since it uses more digits than its factorization.

2432367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The square root of 2432367680 is about 49319.0397311221. The cubic root of 2432367680 is about 1344.8579296510.

The spelling of 2432367680 in words is "two billion, four hundred thirty-two million, three hundred sixty-seven thousand, six hundred eighty".