2513498688 has 196 divisors, whose sum is σ = 7920555660. Its totient is φ = 788299776.

The previous prime is 2513498683. The next prime is 2513498723. The reversal of 2513498688 is 8868943152.

2513498688 is a `hidden beast` number, since 2 + 513 + 49 + 8 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2018525184 + 494973504 = 44928^2 + 22248^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2513498683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 791568 + ... + 794736.

Almost surely, 2^2513498688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960277830).

2513498688 is an abundant number, since it is smaller than the sum of its proper divisors (5407056972).

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

2513498688 is an equidigital number, since it uses as much as digits as its factorization.

2513498688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3191 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 2513498688 is about 50134.8051557000. The cubic root of 2513498688 is about 1359.6471633704.

The spelling of 2513498688 in words is "two billion, five hundred thirteen million, four hundred ninety-eight thousand, six hundred eighty-eight".