2513029680 has 720 divisors, whose sum is σ = 10849662720. Its totient is φ = 517321728.

The previous prime is 2513029639. The next prime is 2513029733. The reversal of 2513029680 is 869203152.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15417279 + ... + 15417441.

It is an arithmetic number, because the mean of its divisors is an integer number (15068976).

Almost surely, 2^2513029680 is an apocalyptic number.

2513029680 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 2513029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424831360).

2513029680 is an abundant number, since it is smaller than the sum of its proper divisors (8336633040).

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

2513029680 is a wasteful number, since it uses less digits than its factorization.

2513029680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2513029680 is about 50130.1274684196. The cubic root of 2513029680 is about 1359.5625900136.

The spelling of 2513029680 in words is "two billion, five hundred thirteen million, twenty-nine thousand, six hundred eighty".