2014240020480 has 384 divisors, whose sum is σ = 7250705280000. Its totient is φ = 530325798912.

The previous prime is 2014240020433. The next prime is 2014240020509. The reversal of 2014240020480 is 840200424102.

2014240020480 is a `hidden beast` number, since 2 + 0 + 142 + 40 + 0 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21795811 + ... + 21888029.

It is an arithmetic number, because the mean of its divisors is an integer number (18882045000).

Almost surely, 2^{2014240020480} is an apocalyptic number.

2014240020480 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 2014240020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625352640000).

2014240020480 is an abundant number, since it is smaller than the sum of its proper divisors (5236465259520).

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

2014240020480 is an equidigital number, since it uses as much as digits as its factorization.

2014240020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92334 (or 92308 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2014240020480 its reverse (840200424102), we get a palindrome (2854440444582).

The spelling of 2014240020480 in words is "two trillion, fourteen billion, two hundred forty million, twenty thousand, four hundred eighty".