2432293920 has 432 divisors, whose sum is σ = 9880049088. Its totient is φ = 554273280.

The previous prime is 2432293909. The next prime is 2432293951. The reversal of 2432293920 is 293922342.

2432293920 is a `hidden beast` number, since 2 + 43 + 229 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7348155 + ... + 7348485.

It is an arithmetic number, because the mean of its divisors is an integer number (22870484).

Almost surely, 2^2432293920 is an apocalyptic number.

2432293920 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 2432293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940024544).

2432293920 is an abundant number, since it is smaller than the sum of its proper divisors (7447755168).

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

2432293920 is an frugal number, since it uses more digits than its factorization.

2432293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2432293920 is about 49318.2919412260. The cubic root of 2432293920 is about 1344.8443355270.

The spelling of 2432293920 in words is "two billion, four hundred thirty-two million, two hundred ninety-three thousand, nine hundred twenty".