2606217120 has 480 divisors, whose sum is σ = 10245312000. Its totient is φ = 619591680.

The previous prime is 2606217109. The next prime is 2606217149. The reversal of 2606217120 is 217126062.

2606217120 is a `hidden beast` number, since 26 + 0 + 621 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5222631 + ... + 5223129.

It is an arithmetic number, because the mean of its divisors is an integer number (21344400).

Almost surely, 2^2606217120 is an apocalyptic number.

2606217120 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 2606217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122656000).

2606217120 is an abundant number, since it is smaller than the sum of its proper divisors (7639094880).

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

2606217120 is a wasteful number, since it uses less digits than its factorization.

2606217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2606217120 is about 51051.1226125342. The cubic root of 2606217120 is about 1376.1640161889.

The spelling of 2606217120 in words is "two billion, six hundred six million, two hundred seventeen thousand, one hundred twenty".