2430485028000 has 576 divisors, whose sum is σ = 8986179750912. Its totient is φ = 645165388800.

The previous prime is 2430485027981. The next prime is 2430485028007. The reversal of 2430485028000 is 8205840342.

2430485028000 is a `hidden beast` number, since 2 + 4 + 30 + 48 + 502 + 80 + 0 + 0 = 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 (2430485028007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216750394 + ... + 216761606.

It is an arithmetic number, because the mean of its divisors is an integer number (15601006512).

Almost surely, 2^{2430485028000} is an apocalyptic number.

2430485028000 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 2430485028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493089875456).

2430485028000 is an abundant number, since it is smaller than the sum of its proper divisors (6555694722912).

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

2430485028000 is a wasteful number, since it uses less digits than its factorization.

2430485028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11476 (or 11446 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2430485028000 in words is "two trillion, four hundred thirty billion, four hundred eighty-five million, twenty-eight thousand".