2501520 has 80 divisors (see below), whose sum is σ = 8868480. Its totient is φ = 571392.

The previous prime is 2501507. The next prime is 2501563. The reversal of 2501520 is 251052.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2501520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (110856).

2^2501520 is an apocalyptic number.

2501520 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 2501520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434240).

2501520 is an abundant number, since it is smaller than the sum of its proper divisors (6366960).

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

2501520 is a wasteful number, since it uses less digits than its factorization.

2501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2501520 is about 1581.6194232495. The cubic root of 2501520 is about 135.7483813556.

Adding to 2501520 its reverse (251052), we get a palindrome (2752572).

It can be divided in two parts, 250 and 1520, that added together give a triangular number (1770 = T₅₉).

The spelling of 2501520 in words is "two million, five hundred one thousand, five hundred twenty".