2613354240 has 864 divisors, whose sum is σ = 11072920320. Its totient is φ = 520224768.

The previous prime is 2613354199. The next prime is 2613354241. The reversal of 2613354240 is 424533162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2613354198 and 2613354207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613354241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60775659 + ... + 60775701.

It is an arithmetic number, because the mean of its divisors is an integer number (12815880).

Almost surely, 2^2613354240 is an apocalyptic number.

2613354240 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 2613354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536460160).

2613354240 is an abundant number, since it is smaller than the sum of its proper divisors (8459566080).

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

2613354240 is a wasteful number, since it uses less digits than its factorization.

2613354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2613354240 is about 51120.9765164947. The cubic root of 2613354240 is about 1377.4190786266.

The spelling of 2613354240 in words is "two billion, six hundred thirteen million, three hundred fifty-four thousand, two hundred forty".