2724404011140 has 576 divisors, whose sum is σ = 9109486084608. Its totient is φ = 606477312000.

The previous prime is 2724404011139. The next prime is 2724404011159. The reversal of 2724404011140 is 411104044272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2724404011098 and 2724404011107.

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, 8594334262 + ... + 8594334578.

It is an arithmetic number, because the mean of its divisors is an integer number (15815080008).

Almost surely, 2^{2724404011140} is an apocalyptic number.

2724404011140 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 2724404011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554743042304).

2724404011140 is an abundant number, since it is smaller than the sum of its proper divisors (6385082073468).

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

2724404011140 is a wasteful number, since it uses less digits than its factorization.

2724404011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 2724404011140 in words is "two trillion, seven hundred twenty-four billion, four hundred four million, eleven thousand, one hundred forty".