2890645632 has 288 divisors, whose sum is σ = 9920137500. Its totient is φ = 805109760.

The previous prime is 2890645627. The next prime is 2890645651. The reversal of 2890645632 is 2365460982.

2890645632 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 6 + 4 + 5 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2591217216 + 299428416 = 50904^2 + 17304^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 2313744 + ... + 2314992.

Almost surely, 2^2890645632 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 2890645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960068750).

2890645632 is an abundant number, since it is smaller than the sum of its proper divisors (7029491868).

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

2890645632 is a wasteful number, since it uses less digits than its factorization.

2890645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2890645632 is about 53764.7247923766. The cubic root of 2890645632 is about 1424.5081929795.

The spelling of 2890645632 in words is "two billion, eight hundred ninety million, six hundred forty-five thousand, six hundred thirty-two".