2513920 has 44 divisors (see below), whose sum is σ = 6042744. Its totient is φ = 1003520.

The previous prime is 2513899. The next prime is 2513941. The reversal of 2513920 is 293152.

It is an interprime number because it is at equal distance from previous prime (2513899) and next prime (2513941).

It is a junction number, because it is equal to n+sod(n) for n = 2513891 and 2513900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4875 + ... + 5365.

2^2513920 is an apocalyptic number.

2513920 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 2513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021372).

2513920 is an abundant number, since it is smaller than the sum of its proper divisors (3528824).

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

2513920 is an equidigital number, since it uses as much as digits as its factorization.

2513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 2513920 is about 1585.5346101552. The cubic root of 2513920 is about 135.9723127028.

The spelling of 2513920 in words is "two million, five hundred thirteen thousand, nine hundred twenty".