2601391288320 has 1248 divisors, whose sum is σ = 10572054764544. Its totient is φ = 584633548800.

The previous prime is 2601391288319. The next prime is 2601391288339. The reversal of 2601391288320 is 238821931062.

2601391288320 is a `hidden beast` number, since 2 + 601 + 3 + 9 + 1 + 2 + 8 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2447216109 + ... + 2447217171.

It is an arithmetic number, because the mean of its divisors is an integer number (8471197728).

Almost surely, 2^{2601391288320} is an apocalyptic number.

2601391288320 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 2601391288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286027382272).

2601391288320 is an abundant number, since it is smaller than the sum of its proper divisors (7970663476224).

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

2601391288320 is a wasteful number, since it uses less digits than its factorization.

2601391288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2601391288320 in words is "two trillion, six hundred one billion, three hundred ninety-one million, two hundred eighty-eight thousand, three hundred twenty".