2401072730000 has 100 divisors (see below), whose sum is σ = 6643699835520. Its totient is φ = 823224912000.

The previous prime is 2401072729997. The next prime is 2401072730081. The reversal of 2401072730000 is 372701042.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17080520 + ... + 17220519.

Almost surely, 2^{2401072730000} is an apocalyptic number.

2401072730000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401072730000 is an abundant number, since it is smaller than the sum of its proper divisors (4242627105520).

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

2401072730000 is an equidigital number, since it uses as much as digits as its factorization.

2401072730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34301074 (or 34301053 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The spelling of 2401072730000 in words is "two trillion, four hundred one billion, seventy-two million, seven hundred thirty thousand".