2513520000 has 240 divisors, whose sum is σ = 9040840380. Its totient is φ = 670080000.

The previous prime is 2513519993. The next prime is 2513520029. The reversal of 2513520000 is 253152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 718255 + ... + 721745.

Almost surely, 2^2513520000 is an apocalyptic number.

2513520000 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 2513520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520420190).

2513520000 is an abundant number, since it is smaller than the sum of its proper divisors (6527320380).

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

2513520000 is an equidigital number, since it uses as much as digits as its factorization.

2513520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2513520000 is about 50135.0177022009. The cubic root of 2513520000 is about 1359.6510061837.

Adding to 2513520000 its reverse (253152), we get a palindrome (2513773152).

The spelling of 2513520000 in words is "two billion, five hundred thirteen million, five hundred twenty thousand".