2430630670400 has 84 divisors (see below), whose sum is σ = 5981179927380. Its totient is φ = 972201984000.

The previous prime is 2430630670357. The next prime is 2430630670417. The reversal of 2430630670400 is 40760360342.

It can be written as a sum of positive squares in 6 ways, for example, as 4096 + 2430630666304 = 64^2 + 1559048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54968300 + ... + 55012500.

It is an arithmetic number, because the mean of its divisors is an integer number (71204522945).

Almost surely, 2^{2430630670400} is an apocalyptic number.

2430630670400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430630670400 is an abundant number, since it is smaller than the sum of its proper divisors (3550549256980).

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

2430630670400 is a wasteful number, since it uses less digits than its factorization.

2430630670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78592 (or 78577 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 2430630670400 in words is "two trillion, four hundred thirty billion, six hundred thirty million, six hundred seventy thousand, four hundred".