2606510916 has 81 divisors (see below), whose sum is σ = 6741566559. Its totient is φ = 849130128.

The previous prime is 2606510897. The next prime is 2606510957. The reversal of 2606510916 is 6190156062.

The square root of 2606510916 is 51054.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20523645 + ... + 20523771.

Almost surely, 2^2606510916 is an apocalyptic number.

2606510916 is the 51054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606510916

2606510916 is an abundant number, since it is smaller than the sum of its proper divisors (4135055643).

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

2606510916 is a wasteful number, since it uses less digits than its factorization.

2606510916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 2606510916 is about 1376.2157253997.

Multiplying 2606510916 by its sum of digits (36), we get a square (93834392976 = 306324²).

2606510916 divided by its sum of digits (36) gives a square (72403081 = 8509²).

Adding to 2606510916 its reverse (6190156062), we get a palindrome (8796666978).

The spelling of 2606510916 in words is "two billion, six hundred six million, five hundred ten thousand, nine hundred sixteen".