2612286690048 has 864 divisors, whose sum is σ = 9667793221632. Its totient is φ = 660809318400.

The previous prime is 2612286690047. The next prime is 2612286690227. The reversal of 2612286690048 is 8400966822162.

2612286690048 is a `hidden beast` number, since 261 + 2 + 286 + 69 + 0 + 0 + 48 = 666.

It is a Cunningham number, because it is equal to 1616257²-1.

It is a junction number, because it is equal to n+sod(n) for n = 2612286689976 and 2612286690003.

It is not an unprimeable number, because it can be changed into a prime (2612286690047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384665533 + ... + 384672323.

It is an arithmetic number, because the mean of its divisors is an integer number (11189575488).

Almost surely, 2^{2612286690048} is an apocalyptic number.

2612286690048 is a gapful number since it is divisible by the number (28) 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 2612286690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833896610816).

2612286690048 is an abundant number, since it is smaller than the sum of its proper divisors (7055506531584).

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

2612286690048 is a wasteful number, since it uses less digits than its factorization.

2612286690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2612286690048 in words is "two trillion, six hundred twelve billion, two hundred eighty-six million, six hundred ninety thousand, forty-eight".