2616315240 has 192 divisors, whose sum is σ = 9860215680. Its totient is φ = 543628800.

The previous prime is 2616315223. The next prime is 2616315259. The reversal of 2616315240 is 425136162.

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 = 2616315198 and 2616315207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88770 + ... + 114510.

It is an arithmetic number, because the mean of its divisors is an integer number (51355290).

Almost surely, 2^2616315240 is an apocalyptic number.

2616315240 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 2616315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930107840).

2616315240 is an abundant number, since it is smaller than the sum of its proper divisors (7243900440).

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

2616315240 is a wasteful number, since it uses less digits than its factorization.

2616315240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25784 (or 25769 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2616315240 is about 51149.9290322088. The cubic root of 2616315240 is about 1377.9390997849.

The spelling of 2616315240 in words is "two billion, six hundred sixteen million, three hundred fifteen thousand, two hundred forty".