2830753250304 has 704 divisors, whose sum is σ = 9041281305600. Its totient is φ = 786839961600.

The previous prime is 2830753250293. The next prime is 2830753250321. The reversal of 2830753250304 is 4030523570382.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7130360634 + ... + 7130361030.

Almost surely, 2^{2830753250304} is an apocalyptic number.

2830753250304 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 2830753250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520640652800).

2830753250304 is an abundant number, since it is smaller than the sum of its proper divisors (6210528055296).

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

2830753250304 is a wasteful number, since it uses less digits than its factorization.

2830753250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 2830753250304 in words is "two trillion, eight hundred thirty billion, seven hundred fifty-three million, two hundred fifty thousand, three hundred four".