2629080 has 96 divisors (see below), whose sum is σ = 8751600. Its totient is φ = 684288.

The previous prime is 2629073. The next prime is 2629091. The reversal of 2629080 is 809262.

2629080 = 67² + 68² + ... + 201².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24066 + ... + 24174.

2^2629080 is an apocalyptic number.

2629080 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 2629080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375800).

2629080 is an abundant number, since it is smaller than the sum of its proper divisors (6122520).

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

2629080 is a wasteful number, since it uses less digits than its factorization.

2629080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2629080 is about 1621.4438010613. The cubic root of 2629080 is about 138.0176410970.

The spelling of 2629080 in words is "two million, six hundred twenty-nine thousand, eighty".