2613669666048 has 576 divisors, whose sum is σ = 9114044907520. Its totient is φ = 723211296768.

The previous prime is 2613669666043. The next prime is 2613669666071. The reversal of 2613669666048 is 8406669663162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613669666043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399213111 + ... + 399219657.

Almost surely, 2^{2613669666048} is an apocalyptic number.

2613669666048 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 2613669666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557022453760).

2613669666048 is an abundant number, since it is smaller than the sum of its proper divisors (6500375241472).

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

2613669666048 is a wasteful number, since it uses less digits than its factorization.

2613669666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6839 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 2613669666048 in words is "two trillion, six hundred thirteen billion, six hundred sixty-nine million, six hundred sixty-six thousand, forty-eight".