2601027520 has 224 divisors, whose sum is σ = 7680960000. Its totient is φ = 816943104.

The previous prime is 2601027497. The next prime is 2601027547. The reversal of 2601027520 is 257201062.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5212231 + ... + 5212729.

It is an arithmetic number, because the mean of its divisors is an integer number (34290000).

Almost surely, 2^2601027520 is an apocalyptic number.

2601027520 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 2601027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480000).

2601027520 is an abundant number, since it is smaller than the sum of its proper divisors (5079932480).

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

2601027520 is a wasteful number, since it uses less digits than its factorization.

2601027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2601027520 is about 51000.2698032079. The cubic root of 2601027520 is about 1375.2499856223.

Adding to 2601027520 its reverse (257201062), we get a palindrome (2858228582).

The spelling of 2601027520 in words is "two billion, six hundred one million, twenty-seven thousand, five hundred twenty".