2513111040 has 576 divisors, whose sum is σ = 9904265280. Its totient is φ = 583925760.

The previous prime is 2513111021. The next prime is 2513111047. The reversal of 2513111040 is 401113152.

2513111040 is a `hidden beast` number, since 2 + 513 + 1 + 110 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (2513111047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37509087 + ... + 37509153.

It is an arithmetic number, because the mean of its divisors is an integer number (17194905).

Almost surely, 2^2513111040 is an apocalyptic number.

2513111040 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 2513111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952132640).

2513111040 is an abundant number, since it is smaller than the sum of its proper divisors (7391154240).

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

2513111040 is a wasteful number, since it uses less digits than its factorization.

2513111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2513111040 is about 50130.9389499140. The cubic root of 2513111040 is about 1359.5772619213.

Adding to 2513111040 its reverse (401113152), we get a palindrome (2914224192).

The spelling of 2513111040 in words is "two billion, five hundred thirteen million, one hundred eleven thousand, forty".