2651241600 has 288 divisors, whose sum is σ = 10812522240. Its totient is φ = 605952000.

The previous prime is 2651241587. The next prime is 2651241653. The reversal of 2651241600 is 61421562.

2651241600 is a `hidden beast` number, since 2 + 6 + 5 + 12 + 41 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195025 + ... + 208175.

It is an arithmetic number, because the mean of its divisors is an integer number (37543480).

Almost surely, 2^2651241600 is an apocalyptic number.

2651241600 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 2651241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406261120).

2651241600 is an abundant number, since it is smaller than the sum of its proper divisors (8161280640).

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

2651241600 is a wasteful number, since it uses less digits than its factorization.

2651241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13188 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2651241600 is about 51490.2087779803. The cubic root of 2651241600 is about 1384.0435906838.

The spelling of 2651241600 in words is "two billion, six hundred fifty-one million, two hundred forty-one thousand, six hundred".