2706472673280 has 1120 divisors, whose sum is σ = 10123460949888. Its totient is φ = 691155763200.

The previous prime is 2706472673279. The next prime is 2706472673339. The reversal of 2706472673280 is 823762746072.

It is a happy number.

2706472673280 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 472 + 67 + 32 + 80 = 666.

It is a super-2 number, since 2×2706472673280² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8702484325 + ... + 8702484635.

Almost surely, 2^{2706472673280} is an apocalyptic number.

2706472673280 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 2706472673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061730474944).

2706472673280 is an abundant number, since it is smaller than the sum of its proper divisors (7416988276608).

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

2706472673280 is an equidigital number, since it uses as much as digits as its factorization.

2706472673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 2706472673280 in words is "two trillion, seven hundred six billion, four hundred seventy-two million, six hundred seventy-three thousand, two hundred eighty".