2510628 has 48 divisors (see below), whose sum is σ = 6418944. Its totient is φ = 760320.

The previous prime is 2510623. The next prime is 2510653. The reversal of 2510628 is 8260152.

It is a junction number, because it is equal to n+sod(n) for n = 2510598 and 2510607.

It is not an unprimeable number, because it can be changed into a prime (2510623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6126 + ... + 6522.

It is an arithmetic number, because the mean of its divisors is an integer number (133728).

2^2510628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2510628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209472).

2510628 is an abundant number, since it is smaller than the sum of its proper divisors (3908316).

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

2510628 is a wasteful number, since it uses less digits than its factorization.

2510628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2510628 is about 1584.4961344225. The cubic root of 2510628 is about 135.9129344697.

The spelling of 2510628 in words is "two million, five hundred ten thousand, six hundred twenty-eight".