2601672736 has 96 divisors (see below), whose sum is σ = 5865652800. Its totient is φ = 1125964800.

The previous prime is 2601672721. The next prime is 2601672739. The reversal of 2601672736 is 6372761062.

It is not an unprimeable number, because it can be changed into a prime (2601672739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796675 + ... + 799933.

It is an arithmetic number, because the mean of its divisors is an integer number (61100550).

Almost surely, 2^2601672736 is an apocalyptic number.

2601672736 is a gapful number since it is divisible by the number (26) 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 2601672736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932826400).

2601672736 is an abundant number, since it is smaller than the sum of its proper divisors (3263980064).

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

2601672736 is a wasteful number, since it uses less digits than its factorization.

2601672736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 2601672736 is about 51006.5950245652. The cubic root of 2601672736 is about 1375.3636919591.

The spelling of 2601672736 in words is "two billion, six hundred one million, six hundred seventy-two thousand, seven hundred thirty-six".