2606400261 has 28 divisors (see below), whose sum is σ = 3943784460. Its totient is φ = 1721606400.

The previous prime is 2606400241. The next prime is 2606400263. The reversal of 2606400261 is 1620046062.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1067328900 + 1539071361 = 32670^2 + 39231^2 .

It is not a de Polignac number, because 2606400261 - 2¹¹ = 2606398213 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606400263) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63061 + ... + 95861.

It is an arithmetic number, because the mean of its divisors is an integer number (140849445).

Almost surely, 2^2606400261 is an apocalyptic number.

It is an amenable number.

2606400261 is a deficient number, since it is larger than the sum of its proper divisors (1337384199).

2606400261 is an equidigital number, since it uses as much as digits as its factorization.

2606400261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32928 (or 32913 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2606400261 is about 51052.9162830097. The cubic root of 2606400261 is about 1376.1962501560.

The spelling of 2606400261 in words is "two billion, six hundred six million, four hundred thousand, two hundred sixty-one".