2613260253240 has 768 divisors, whose sum is σ = 10620278323200. Its totient is φ = 542578176000.

The previous prime is 2613260253187. The next prime is 2613260253271. The reversal of 2613260253240 is 423520623162.

2613260253240 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 2 + 602 + 5 + 3 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2613260253195 and 2613260253204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2444583426 + ... + 2444584494.

It is an arithmetic number, because the mean of its divisors is an integer number (13828487400).

Almost surely, 2^{2613260253240} is an apocalyptic number.

2613260253240 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 2613260253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310139161600).

2613260253240 is an abundant number, since it is smaller than the sum of its proper divisors (8007018069960).

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

2613260253240 is a wasteful number, since it uses less digits than its factorization.

2613260253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2613260253240 in words is "two trillion, six hundred thirteen billion, two hundred sixty million, two hundred fifty-three thousand, two hundred forty".