2662513000 has 192 divisors, whose sum is σ = 7364710080. Its totient is φ = 898128000.

The previous prime is 2662512991. The next prime is 2662513019. The reversal of 2662513000 is 3152662.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3282595 + ... + 3283405.

It is an arithmetic number, because the mean of its divisors is an integer number (38357865).

Almost surely, 2^2662513000 is an apocalyptic number.

2662513000 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 2662513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682355040).

2662513000 is an abundant number, since it is smaller than the sum of its proper divisors (4702197080).

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

2662513000 is a wasteful number, since it uses less digits than its factorization.

2662513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 2662513000 is about 51599.5445716336. The cubic root of 2662513000 is about 1386.0021766452.

Adding to 2662513000 its reverse (3152662), we get a palindrome (2665665662).

The spelling of 2662513000 in words is "two billion, six hundred sixty-two million, five hundred thirteen thousand".