2601713664 has 204 divisors, whose sum is σ = 8219724552. Its totient is φ = 786432000.

The previous prime is 2601713663. The next prime is 2601713669. The reversal of 2601713664 is 4663171062.

It is a happy number.

It is a super-3 number, since 3×2601713664³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601713663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6487864 + ... + 6488264.

Almost surely, 2^2601713664 is an apocalyptic number.

2601713664 is a gapful number since it is divisible by the number (24) 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 2601713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109862276).

2601713664 is an abundant number, since it is smaller than the sum of its proper divisors (5618010888).

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

2601713664 is an equidigital number, since it uses as much as digits as its factorization.

2601713664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2601713664 is about 51006.9962260081. The cubic root of 2601713664 is about 1375.3709040614.

The spelling of 2601713664 in words is "two billion, six hundred one million, seven hundred thirteen thousand, six hundred sixty-four".