2651583456 has 144 divisors (see below), whose sum is σ = 7986036240. Its totient is φ = 832204800.

The previous prime is 2651583439. The next prime is 2651583463. The reversal of 2651583456 is 6543851562.

2651583456 is a `hidden beast` number, since 2 + 6 + 515 + 83 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945256 + ... + 948056.

It is an arithmetic number, because the mean of its divisors is an integer number (55458585).

Almost surely, 2^2651583456 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 2651583456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993018120).

2651583456 is an abundant number, since it is smaller than the sum of its proper divisors (5334452784).

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

2651583456 is a wasteful number, since it uses less digits than its factorization.

2651583456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2998 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2651583456 is about 51493.5282923981. The cubic root of 2651583456 is about 1384.1030751748.

The spelling of 2651583456 in words is "two billion, six hundred fifty-one million, five hundred eighty-three thousand, four hundred fifty-six".