2509020 has 72 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 653952.

The previous prime is 2508971. The next prime is 2509027. The reversal of 2509020 is 209052.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2508984 and 2509002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9409 + ... + 9671.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

2^2509020 is an apocalyptic number.

2509020 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 2509020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

2509020 is an abundant number, since it is smaller than the sum of its proper divisors (5274756).

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

2509020 is a wasteful number, since it uses less digits than its factorization.

2509020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2509020 is about 1583.9886363229. The cubic root of 2509020 is about 135.8839118940.

Subtracting from 2509020 its reverse (209052), we obtain a cube (2299968 = 132³).

The spelling of 2509020 in words is "two million, five hundred nine thousand, twenty".