2629120 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 958464.

The previous prime is 2629117. The next prime is 2629127. The reversal of 2629120 is 219262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a d-powerful number, because it can be written as 2³ + 6 + 2⁹ + 9⁶ + 1 + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2629091 and 2629100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629127) 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, 33241 + ... + 33319.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

2^2629120 is an apocalyptic number.

2629120 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 2629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2629120 is an abundant number, since it is smaller than the sum of its proper divisors (4245440).

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

2629120 is an equidigital number, since it uses as much as digits as its factorization.

2629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2629120 is about 1621.4561357003. The cubic root of 2629120 is about 138.0183410475.

The spelling of 2629120 in words is "two million, six hundred twenty-nine thousand, one hundred twenty".