2629460 has 24 divisors (see below), whose sum is σ = 5600616. Its totient is φ = 1036800.

The previous prime is 2629457. The next prime is 2629469. The reversal of 2629460 is 649262.

It can be written as a sum of positive squares in 4 ways, for example, as 56644 + 2572816 = 238^2 + 1604^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560 + ... + 2360.

It is an arithmetic number, because the mean of its divisors is an integer number (233359).

2^2629460 is an apocalyptic number.

2629460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2629460 is an abundant number, since it is smaller than the sum of its proper divisors (2971156).

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

2629460 is a wasteful number, since it uses less digits than its factorization.

2629460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 2629460 is about 1621.5609763435. The cubic root of 2629460 is about 138.0242903402.

The spelling of 2629460 in words is "two million, six hundred twenty-nine thousand, four hundred sixty".