2513280 has 256 divisors, whose sum is σ = 10575360. Its totient is φ = 491520.

The previous prime is 2513249. The next prime is 2513281. The reversal of 2513280 is 823152.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147832 + ... + 147848.

It is an arithmetic number, because the mean of its divisors is an integer number (41310).

2^2513280 is an apocalyptic number.

2513280 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 2513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680).

2513280 is an abundant number, since it is smaller than the sum of its proper divisors (8062080).

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

2513280 is a wasteful number, since it uses less digits than its factorization.

2513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2513280 is about 1585.3327726380. The cubic root of 2513280 is about 135.9607730004.

The spelling of 2513280 in words is "two million, five hundred thirteen thousand, two hundred eighty".