2607022080000 has 1320 divisors, whose sum is σ = 10731359106468. Its totient is φ = 603979776000.

The previous prime is 2607022079941. The next prime is 2607022080049. The reversal of 2607022080000 is 802207062.

It can be written as a sum of positive squares in 10 ways, for example, as 275952697344 + 2331069382656 = 525312^2 + 1526784^2 .

It is a super-5 number, since 5×2607022080000⁵ (a number of 63 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153354239992 + ... + 153354240008.

Almost surely, 2^{2607022080000} is an apocalyptic number.

2607022080000 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 2607022080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365679553234).

2607022080000 is an abundant number, since it is smaller than the sum of its proper divisors (8124337026468).

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

2607022080000 is an frugal number, since it uses more digits than its factorization.

2607022080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 2607022080000 its reverse (802207062), we get a palindrome (2607824287062).

The spelling of 2607022080000 in words is "two trillion, six hundred seven billion, twenty-two million, eighty thousand".