2513730240 has 448 divisors, whose sum is σ = 10270540800. Its totient is φ = 566894592.

The previous prime is 2513730227. The next prime is 2513730251. The reversal of 2513730240 is 420373152.

2513730240 is a `hidden beast` number, since 2 + 51 + 373 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5382487 + ... + 5382953.

Almost surely, 2^2513730240 is an apocalyptic number.

2513730240 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 2513730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135270400).

2513730240 is an abundant number, since it is smaller than the sum of its proper divisors (7756810560).

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

2513730240 is a wasteful number, since it uses less digits than its factorization.

2513730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2513730240 is about 50137.1143964229. The cubic root of 2513730240 is about 1359.6889138534.

The spelling of 2513730240 in words is "two billion, five hundred thirteen million, seven hundred thirty thousand, two hundred forty".