2617478297280 has 2240 divisors, whose sum is σ = 12312640327680. Its totient is φ = 511864012800.

The previous prime is 2617478297261. The next prime is 2617478297303. The reversal of 2617478297280 is 827928747162.

2617478297280 is a `hidden beast` number, since 2 + 6 + 17 + 478 + 2 + 9 + 72 + 80 = 666.

2617478297280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2373053209 + ... + 2373054311.

It is an arithmetic number, because the mean of its divisors is an integer number (5496714432).

Almost surely, 2^{2617478297280} is an apocalyptic number.

2617478297280 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 2617478297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156320163840).

2617478297280 is an abundant number, since it is smaller than the sum of its proper divisors (9695162030400).

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

2617478297280 is a wasteful number, since it uses less digits than its factorization.

2617478297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 2617478297280 in words is "two trillion, six hundred seventeen billion, four hundred seventy-eight million, two hundred ninety-seven thousand, two hundred eighty".