2432830464 has 154 divisors (see below), whose sum is σ = 7293829460. Its totient is φ = 810694656.

The previous prime is 2432830457. The next prime is 2432830469. The reversal of 2432830464 is 4640382342.

2432830464 is a `hidden beast` number, since 24 + 328 + 304 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2432830469) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 744867 + ... + 748125.

Almost surely, 2^2432830464 is an apocalyptic number.

2432830464 is a gapful number since it is divisible by the number (24) 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 2432830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646914730).

2432830464 is an abundant number, since it is smaller than the sum of its proper divisors (4860998996).

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

2432830464 is an frugal number, since it uses more digits than its factorization.

2432830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2432830464 is about 49323.7312457198. The cubic root of 2432830464 is about 1344.9432154502.

The spelling of 2432830464 in words is "two billion, four hundred thirty-two million, eight hundred thirty thousand, four hundred sixty-four".