2601222128960 has 896 divisors, whose sum is σ = 8323456942080. Its totient is φ = 751424864256.

The previous prime is 2601222128957. The next prime is 2601222129019. The reversal of 2601222128960 is 698212221062.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1742277974 + ... + 1742279466.

It is an arithmetic number, because the mean of its divisors is an integer number (9289572480).

Almost surely, 2^{2601222128960} is an apocalyptic number.

2601222128960 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 2601222128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161728471040).

2601222128960 is an abundant number, since it is smaller than the sum of its proper divisors (5722234813120).

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

2601222128960 is a wasteful number, since it uses less digits than its factorization.

2601222128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 2601222128960 in words is "two trillion, six hundred one billion, two hundred twenty-two million, one hundred twenty-eight thousand, nine hundred sixty".