2612275007616 has 192 divisors, whose sum is σ = 7985642464800. Its totient is φ = 849519912960.

The previous prime is 2612275007569. The next prime is 2612275007647. The reversal of 2612275007616 is 6167005722162.

2612275007616 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 27 + 5 + 0 + 0 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251055 + ... + 2299473.

Almost surely, 2^{2612275007616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612275007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992821232400).

2612275007616 is an abundant number, since it is smaller than the sum of its proper divisors (5373367457184).

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

2612275007616 is an equidigital number, since it uses as much as digits as its factorization.

2612275007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048489 (or 2048465 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2612275007616 in words is "two trillion, six hundred twelve billion, two hundred seventy-five million, seven thousand, six hundred sixteen".