2723509310420 has 48 divisors (see below), whose sum is σ = 5771232234768. Its totient is φ = 1079562332160.

The previous prime is 2723509310399. The next prime is 2723509310429. The reversal of 2723509310420 is 240139053272.

It can be written as a sum of positive squares in 8 ways, for example, as 402115783876 + 2321393526544 = 634126^2 + 1523612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723509310429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8540 + ... + 2333900.

It is an arithmetic number, because the mean of its divisors is an integer number (120234004891).

Almost surely, 2^{2723509310420} is an apocalyptic number.

2723509310420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2723509310420 is an abundant number, since it is smaller than the sum of its proper divisors (3047722924348).

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

2723509310420 is a wasteful number, since it uses less digits than its factorization.

2723509310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325900 (or 2325898 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 2723509310420 in words is "two trillion, seven hundred twenty-three billion, five hundred nine million, three hundred ten thousand, four hundred twenty".