2734280478720 has 2288 divisors, whose sum is σ = 12536664935040. Its totient is φ = 557256278016.

The previous prime is 2734280478707. The next prime is 2734280478757. The reversal of 2734280478720 is 278740824372.

2734280478720 is a `hidden beast` number, since 2 + 73 + 4 + 2 + 80 + 478 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 143909498871 + ... + 143909498889.

Almost surely, 2^{2734280478720} is an apocalyptic number.

2734280478720 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 2734280478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268332467520).

2734280478720 is an abundant number, since it is smaller than the sum of its proper divisors (9802384456320).

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

2734280478720 is an frugal number, since it uses more digits than its factorization.

2734280478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 2734280478720 in words is "two trillion, seven hundred thirty-four billion, two hundred eighty million, four hundred seventy-eight thousand, seven hundred twenty".