2724400475120 has 20 divisors (see below), whose sum is σ = 6334231104840. Its totient is φ = 1089760190016.

The previous prime is 2724400475033. The next prime is 2724400475149. The reversal of 2724400475120 is 215740044272.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17027502890 + ... + 17027503049.

It is an arithmetic number, because the mean of its divisors is an integer number (316711555242).

Almost surely, 2^{2724400475120} is an apocalyptic number.

2724400475120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2724400475120 is an abundant number, since it is smaller than the sum of its proper divisors (3609830629720).

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

2724400475120 is a wasteful number, since it uses less digits than its factorization.

2724400475120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34055005952 (or 34055005946 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 38.

The spelling of 2724400475120 in words is "two trillion, seven hundred twenty-four billion, four hundred million, four hundred seventy-five thousand, one hundred twenty".