2346006432 has 96 divisors (see below), whose sum is σ = 7677863424. Its totient is φ = 609350400.

The previous prime is 2346006431. The next prime is 2346006461.

It is a happy number.

2346006432 is nontrivially palindromic in base 10.

2346006432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2346006432.

It is not an unprimeable number, because it can be changed into a prime (2346006431) 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, 151294 + ... + 166077.

It is an arithmetic number, because the mean of its divisors is an integer number (79977744).

Almost surely, 2^2346006432 is an apocalyptic number.

2346006432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2346006432 is an abundant number, since it is smaller than the sum of its proper divisors (5331856992).

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

2346006432 is a wasteful number, since it uses less digits than its factorization.

2346006432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317402 (or 317394 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2346006432 is about 48435.5905507510. The cubic root of 2346006432 is about 1328.7493532946.

The spelling of 2346006432 in words is "two billion, three hundred forty-six million, six thousand, four hundred thirty-two".