2610611496064 has 256 divisors, whose sum is σ = 6482398003200. Its totient is φ = 1029522493440.

The previous prime is 2610611496049. The next prime is 2610611496161. The reversal of 2610611496064 is 4606941160162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44137999 + ... + 44197105.

It is an arithmetic number, because the mean of its divisors is an integer number (25321867200).

Almost surely, 2^{2610611496064} 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 2610611496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241199001600).

2610611496064 is an abundant number, since it is smaller than the sum of its proper divisors (3871786507136).

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

2610611496064 is a wasteful number, since it uses less digits than its factorization.

2610611496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59291 (or 59279 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 2610611496064 in words is "two trillion, six hundred ten billion, six hundred eleven million, four hundred ninety-six thousand, sixty-four".