2601988835160 has 288 divisors, whose sum is σ = 9290899210320. Its totient is φ = 582262686720.

The previous prime is 2601988835101. The next prime is 2601988835167. The reversal of 2601988835160 is 615388891062.

It is a self number, because there is not a number n which added to its sum of digits gives 2601988835160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601988835167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1923702 + ... + 2984058.

Almost surely, 2^{2601988835160} is an apocalyptic number.

2601988835160 is a gapful number since it is divisible by the number (20) 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 2601988835160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645449605160).

2601988835160 is an abundant number, since it is smaller than the sum of its proper divisors (6688910375160).

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

2601988835160 is a wasteful number, since it uses less digits than its factorization.

2601988835160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060419 (or 1060391 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 2601988835160 in words is "two trillion, six hundred one billion, nine hundred eighty-eight million, eight hundred thirty-five thousand, one hundred sixty".