2629540 has 12 divisors (see below), whose sum is σ = 5522076. Its totient is φ = 1051808.

The previous prime is 2629537. The next prime is 2629541. The reversal of 2629540 is 459262.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 736164 = 1376^2 + 858^2 .

It is a super-2 number, since 2×2629540² = 13828961223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2629499 and 2629508.

It is not an unprimeable number, because it can be changed into a prime (2629541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65719 + ... + 65758.

It is an arithmetic number, because the mean of its divisors is an integer number (460173).

2^2629540 is an apocalyptic number.

2629540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2629540 is an abundant number, since it is smaller than the sum of its proper divisors (2892536).

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

2629540 is a wasteful number, since it uses less digits than its factorization.

2629540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131486 (or 131484 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2629540 is about 1621.5856437450. The cubic root of 2629540 is about 138.0256900993.

It can be divided in two parts, 26295 and 40, that added together give a triangular number (26335 = T₂₂₉).

The spelling of 2629540 in words is "two million, six hundred twenty-nine thousand, five hundred forty".