2651056128 has 288 divisors, whose sum is σ = 9086575680. Its totient is φ = 756449280.

The previous prime is 2651056069. The next prime is 2651056147. The reversal of 2651056128 is 8216501562.

2651056128 is a `hidden beast` number, since 2 + 65 + 10 + 561 + 28 = 666.

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 junction number, because it is equal to n+sod(n) for n = 2651056092 and 2651056101.

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 23 ways as a sum of consecutive naturals, for example, 3483268 + ... + 3484028.

It is an arithmetic number, because the mean of its divisors is an integer number (31550610).

Almost surely, 2^2651056128 is an apocalyptic number.

2651056128 is a gapful number since it is divisible by the number (28) 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 2651056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543287840).

2651056128 is an abundant number, since it is smaller than the sum of its proper divisors (6435519552).

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

2651056128 is an frugal number, since it uses more digits than its factorization.

2651056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2651056128 is about 51488.4077050359. The cubic root of 2651056128 is about 1384.0113155768.

The spelling of 2651056128 in words is "two billion, six hundred fifty-one million, fifty-six thousand, one hundred twenty-eight".