2612205090 has 96 divisors (see below), whose sum is σ = 7423745472. Its totient is φ = 632016000.

The previous prime is 2612205077. The next prime is 2612205097. The reversal of 2612205090 is 905022162.

It is not an unprimeable number, because it can be changed into a prime (2612205097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562980 + ... + 567600.

It is an arithmetic number, because the mean of its divisors is an integer number (77330682).

Almost surely, 2^2612205090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612205090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711872736).

2612205090 is an abundant number, since it is smaller than the sum of its proper divisors (4811540382).

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

2612205090 is a wasteful number, since it uses less digits than its factorization.

2612205090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2612205090 is about 51109.7357653119. The cubic root of 2612205090 is about 1377.2171550893.

It can be divided in two parts, 2612 and 205090, that added together give a palindrome (207702).

The spelling of 2612205090 in words is "two billion, six hundred twelve million, two hundred five thousand, ninety".