2724405124350 has 384 divisors, whose sum is σ = 8496906163200. Its totient is φ = 562411745280.

The previous prime is 2724405124349. The next prime is 2724405124387. The reversal of 2724405124350 is 534215044272.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2724405124299 and 2724405124308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136257954 + ... + 136277946.

It is an arithmetic number, because the mean of its divisors is an integer number (22127359800).

Almost surely, 2^{2724405124350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724405124350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248453081600).

2724405124350 is an abundant number, since it is smaller than the sum of its proper divisors (5772501038850).

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

2724405124350 is a wasteful number, since it uses less digits than its factorization.

2724405124350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20244 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 2724405124350 in words is "two trillion, seven hundred twenty-four billion, four hundred five million, one hundred twenty-four thousand, three hundred fifty".