2708084092224 has 672 divisors, whose sum is σ = 9025133949696. Its totient is φ = 701228482560.

The previous prime is 2708084092193. The next prime is 2708084092247. The reversal of 2708084092224 is 4222904808072.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2708084092224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1095059052 + ... + 1095061524.

Almost surely, 2^{2708084092224} is an apocalyptic number.

2708084092224 is a gapful number since it is divisible by the number (24) 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 2708084092224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512566974848).

2708084092224 is an abundant number, since it is smaller than the sum of its proper divisors (6317049857472).

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

2708084092224 is a wasteful number, since it uses less digits than its factorization.

2708084092224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 2708084092224 in words is "two trillion, seven hundred eight billion, eighty-four million, ninety-two thousand, two hundred twenty-four".