2303728940800 has 432 divisors, whose sum is σ = 6752814014464. Its totient is φ = 761425920000.

The previous prime is 2303728940767. The next prime is 2303728940827. The reversal of 2303728940800 is 80498273032.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 376361740 + ... + 376367860.

Almost surely, 2^{2303728940800} is an apocalyptic number.

2303728940800 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 2303728940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376407007232).

2303728940800 is an abundant number, since it is smaller than the sum of its proper divisors (4449085073664).

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

2303728940800 is a wasteful number, since it uses less digits than its factorization.

2303728940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 2303728940800 in words is "two trillion, three hundred three billion, seven hundred twenty-eight million, nine hundred forty thousand, eight hundred".