2609954578816 has 256 divisors, whose sum is σ = 6059015424000. Its totient is φ = 1109527953408.

The previous prime is 2609954578811. The next prime is 2609954578849. The reversal of 2609954578816 is 6188754599062.

It is a super-3 number, since 3×2609954578816³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609954578811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303161520 + ... + 303170128.

It is an arithmetic number, because the mean of its divisors is an integer number (23668029000).

Almost surely, 2^{2609954578816} is an apocalyptic number.

2609954578816 is a gapful number since it is divisible by the number (26) 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 2609954578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029507712000).

2609954578816 is an abundant number, since it is smaller than the sum of its proper divisors (3449060845184).

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

2609954578816 is a wasteful number, since it uses less digits than its factorization.

2609954578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8921 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 70.

The spelling of 2609954578816 in words is "two trillion, six hundred nine billion, nine hundred fifty-four million, five hundred seventy-eight thousand, eight hundred sixteen".