2601736416 has 96 divisors (see below), whose sum is σ = 7618574880. Its totient is φ = 863797248.

The previous prime is 2601736409. The next prime is 2601736433. The reversal of 2601736416 is 6146371062.

It is a happy number.

2601736416 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 7 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216190 + ... + 227906.

It is an arithmetic number, because the mean of its divisors is an integer number (79360155).

Almost surely, 2^2601736416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2601736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809287440).

2601736416 is an abundant number, since it is smaller than the sum of its proper divisors (5016838464).

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

2601736416 is a wasteful number, since it uses less digits than its factorization.

2601736416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11993 (or 11979 counting only the distinct ones).

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

The square root of 2601736416 is about 51007.2192537488. The cubic root of 2601736416 is about 1375.3749132584.

The spelling of 2601736416 in words is "two billion, six hundred one million, seven hundred thirty-six thousand, four hundred sixteen".