2601262080 has 352 divisors, whose sum is σ = 9558343680. Its totient is φ = 670187520.

The previous prime is 2601262057. The next prime is 2601262087. The reversal of 2601262080 is 802621062.

2601262080 is a `hidden beast` number, since 26 + 0 + 12 + 620 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601262087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4285137 + ... + 4285743.

Almost surely, 2^2601262080 is an apocalyptic number.

2601262080 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 2601262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779171840).

2601262080 is an abundant number, since it is smaller than the sum of its proper divisors (6957081600).

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

2601262080 is a wasteful number, since it uses less digits than its factorization.

2601262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2601262080 is about 51002.5693470437. The cubic root of 2601262080 is about 1375.2913242776.

The spelling of 2601262080 in words is "two billion, six hundred one million, two hundred sixty-two thousand, eighty".