2714514042240 has 4608 divisors, whose sum is σ = 13823306864640. Its totient is φ = 499973160960.

The previous prime is 2714514042199. The next prime is 2714514042241. The reversal of 2714514042240 is 422404154172.

2714514042240 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 5 + 1 + 404 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2714514042195 and 2714514042204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714514042241) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 51217246054 + ... + 51217246106.

It is an arithmetic number, because the mean of its divisors is an integer number (2999849580).

Almost surely, 2^{2714514042240} is an apocalyptic number.

2714514042240 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 2714514042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911653432320).

2714514042240 is an abundant number, since it is smaller than the sum of its proper divisors (11108792822400).

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

2714514042240 is a wasteful number, since it uses less digits than its factorization.

2714514042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 2714514042240 in words is "two trillion, seven hundred fourteen billion, five hundred fourteen million, forty-two thousand, two hundred forty".