2612848740096 has 288 divisors, whose sum is σ = 8102728650240. Its totient is φ = 731957870592.

The previous prime is 2612848740067. The next prime is 2612848740163. The reversal of 2612848740096 is 6900478482162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803210406 + ... + 803213658.

It is an arithmetic number, because the mean of its divisors is an integer number (28134474480).

Almost surely, 2^{2612848740096} 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 2612848740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051364325120).

2612848740096 is an abundant number, since it is smaller than the sum of its proper divisors (5489879910144).

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

2612848740096 is a wasteful number, since it uses less digits than its factorization.

2612848740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 2612848740096 in words is "two trillion, six hundred twelve billion, eight hundred forty-eight million, seven hundred forty thousand, ninety-six".