2516391346560 has 1024 divisors, whose sum is σ = 10137657600000. Its totient is φ = 527551266816.

The previous prime is 2516391346543. The next prime is 2516391346627. The reversal of 2516391346560 is 656431936152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1481100591 + ... + 1481102289.

It is an arithmetic number, because the mean of its divisors is an integer number (9900056250).

Almost surely, 2^{2516391346560} is an apocalyptic number.

2516391346560 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 2516391346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068828800000).

2516391346560 is an abundant number, since it is smaller than the sum of its proper divisors (7621266253440).

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

2516391346560 is a wasteful number, since it uses less digits than its factorization.

2516391346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 2516391346560 in words is "two trillion, five hundred sixteen billion, three hundred ninety-one million, three hundred forty-six thousand, five hundred sixty".