2513042000 has 160 divisors (see below), whose sum is σ = 7353815040. Its totient is φ = 810854400.

The previous prime is 2513041997. The next prime is 2513042023. The reversal of 2513042000 is 2403152.

2513042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2513042000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232721 + ... + 243279.

It is an arithmetic number, because the mean of its divisors is an integer number (45961344).

Almost surely, 2^2513042000 is an apocalyptic number.

2513042000 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 2513042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

2513042000 is an abundant number, since it is smaller than the sum of its proper divisors (4840773040).

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

2513042000 is a wasteful number, since it uses less digits than its factorization.

2513042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2513042000 is about 50130.2503484672. The cubic root of 2513042000 is about 1359.5648117388.

Adding to 2513042000 its reverse (2403152), we get a palindrome (2515445152).

The spelling of 2513042000 in words is "two billion, five hundred thirteen million, forty-two thousand".