2030634748800 has 1728 divisors, whose sum is σ = 8834807348640. Its totient is φ = 451480780800.

The previous prime is 2030634748799. The next prime is 2030634748811. The reversal of 2030634748800 is 88474360302.

2030634748800 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 634 + 7 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6025622232 + ... + 6025622568.

Almost surely, 2^{2030634748800} is an apocalyptic number.

2030634748800 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 2030634748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417403674320).

2030634748800 is an abundant number, since it is smaller than the sum of its proper divisors (6804172599840).

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

2030634748800 is an frugal number, since it uses more digits than its factorization.

2030634748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2030634748800 in words is "two trillion, thirty billion, six hundred thirty-four million, seven hundred forty-eight thousand, eight hundred".