2601552096 has 288 divisors, whose sum is σ = 8764610400. Its totient is φ = 721612800.

The previous prime is 2601552053. The next prime is 2601552133. The reversal of 2601552096 is 6902551062.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2601552096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7454130 + ... + 7454478.

It is an arithmetic number, because the mean of its divisors is an integer number (30432675).

Almost surely, 2^2601552096 is an apocalyptic number.

2601552096 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 2601552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382305200).

2601552096 is an abundant number, since it is smaller than the sum of its proper divisors (6163058304).

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

2601552096 is a wasteful number, since it uses less digits than its factorization.

2601552096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2601552096 is about 51005.4124186836. The cubic root of 2601552096 is about 1375.3424330157.

The spelling of 2601552096 in words is "two billion, six hundred one million, five hundred fifty-two thousand, ninety-six".